Question 1

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. ​
(4a,6b)
​

Accepted Answer

A) ​(-4a,-6b) 
B) ​(-4a,6b) 
C) ​(4a,-6b) 
D) ​(4a,6b) 
E) None of the above 
A) ​(-4a,-6b) 
B) ​(-4a,6b) 
C) ​(4a,-6b) 
D) ​(4a,6b) 
E) None of the above

Question 2

Find the graph of the equation.? $f ( x ) = \sqrt { 3 x - 4 }$ ?

Accepted Answer

A)    ? 
B)    ? 
C)    ? 
D)    ? 
A)    ? 
B)    ? 
C)    ? 
D)    ?

Question 3

Find the average rate of change of the function from x1 = 1 to x2 = 6.? $$f ( x ) = - x ^ { 3 } + 2 x ^ { 2 } + x$$ ?

Accepted Answer

A) The average rate of change from x1 = 1 to x2 = 6 is 19. 
B) The average rate of change from x1 = 1 to x2 = 6 is -9. 
C) The average rate of change from x1 = 1 to x2 = 6 is 9. 
D) The average rate of change from x1 = 1 to x2 = 6 is -28. 
E) The average rate of change from x1 = 1 to x2 = 6 is -2. 
A) The average rate of change from x1 = 1 to x2 = 6 is 19. 
B) The average rate of change from x1 = 1 to x2 = 6 is -9. 
C) The average rate of change from x1 = 1 to x2 = 6 is 9. 
D) The average rate of change from x1 = 1 to x2 = 6 is -28. 
E) The average rate of change from x1 = 1 to x2 = 6 is -2.

Question 4

Find the zeros of the function algebraically.? $$f ( x ) = \frac { 1 } { 8 } x ^ { 3 } - x$$ ?

Accepted Answer

A)  $x = 0 , \sqrt { 8 }$ 
B)  $x = 0 , - \sqrt { 8 }$ 
C)  $x = 0 , \pm 8$ 
D)  $x = 0 , \pm \sqrt { 8 }$ 
E)  $x = 0,8$ 
A)  $x = 0 , \sqrt { 8 }$ 
B)  $x = 0 , - \sqrt { 8 }$ 
C)  $x = 0 , \pm 8$ 
D)  $x = 0 , \pm \sqrt { 8 }$ 
E)  $x = 0,8$

Question 5

An object is dropped from a height of 60 feet. Use the position equation s = -16t2 + v0t + s0 to write a function that represents the situation and select the graph of the function.
​

Accepted Answer

A) s = 16t2 + ​60 ​
​   
B) s = -16t2 - ​60 ​
​   
C) s = 16t2 - ​60 ​
​   
D) s = -16t2 + ​60 ​
​   
E) s = -16t2 + ​60t ​
​   
A) s = 16t2 + ​60 ​
​   
B) s = -16t2 - ​60 ​
​   
C) s = 16t2 - ​60 ​
​   
D) s = -16t2 + ​60 ​
​   
E) s = -16t2 + ​60t ​
​

Question 6

Select the graph of the function and find the zeros of the function.? $$f ( x ) = \sqrt { 2 x + 3 }$$ ?

Accepted Answer

A) ?   $$x = \frac { 2 } { 3 }$$ 
B) ?   $$x = \frac { 3 } { 2 }$$ 
C) ?   $$x = - \frac { 3 } { 2 }$$ 
D) ?   $$x = - \frac { 3 } { 2 }$$ 
E) ?   $$x = - \frac { 2 } { 3 }$$ 
A) ?   $$x = \frac { 2 } { 3 }$$ 
B) ?   $$x = \frac { 3 } { 2 }$$ 
C) ?   $$x = - \frac { 3 } { 2 }$$ 
D) ?   $$x = - \frac { 3 } { 2 }$$ 
E) ?   $$x = - \frac { 2 } { 3 }$$

Question 7

The number of lumens (time rate of flow of light)L from a fluorescent lamp can be approximated by the model ​
L = -0.294x2 + 97.744x - 664.875, 20 ≤ x ≤ 90
​
Where x is the wattage of the lamp.
​
Use a graphing utility to select the graph of the function.Use the graph to estimate the wattage necessary to obtain 2400 lumens.
​

Accepted Answer

A) ​   40W 
B) ​   30W 
C) ​   45W 
D) ​   25W 
E) ​   35W 
A) ​   40W 
B) ​   30W 
C) ​   45W 
D) ​   25W 
E) ​   35W

Question 8

Use a graphing utility to graph the function and find the zeroes of the function.? $$f ( x ) = 7 - \frac { 3 } { x }$$ ?

Accepted Answer

A)  $x = \frac { 3 } { 7 }$ 
B)  $x = - \frac { 3 } { 7 }$ 
C)  $x = \frac { 7 } { 3 }$ 
D) ? $x = - \frac { 7 } { 3 }$ 
E) no real zeroes 
A)  $x = \frac { 3 } { 7 }$ 
B)  $x = - \frac { 3 } { 7 }$ 
C)  $x = \frac { 7 } { 3 }$ 
D) ? $x = - \frac { 7 } { 3 }$ 
E) no real zeroes

Question 9

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even.? $\left( - \frac { 1 } { 2 } , 5 \right)$ ?

Accepted Answer

A)  $\left( - \frac { 1 } { 2 } , - 5 \right)$ 
B)  $\left( \frac { 1 } { 2 } , 5 \right)$ ? 
C)  $\left( \frac { 1 } { 2 } , - 5 \right)$ ? 
D)  $\left( - \frac { 1 } { 2 } , 5 \right)$ ? 
E) None of the above 
A)  $\left( - \frac { 1 } { 2 } , - 5 \right)$ 
B)  $\left( \frac { 1 } { 2 } , 5 \right)$ ? 
C)  $\left( \frac { 1 } { 2 } , - 5 \right)$ ? 
D)  $\left( - \frac { 1 } { 2 } , 5 \right)$ ? 
E) None of the above

Question 10

Select the graph of the function and find the zeros of the function.? $$f ( x ) = 7 + \frac { 13 } { x }$$ ?

Accepted Answer

A)    ? $$x = - 13$$ 
B) ?   $$x = \frac { 7 } { 13 }$$ 
C)    ? $$x = - \frac { 7 } { 13 }$$ 
D) ?   $$x = \frac { 13 } { 7 }$$ 
E) ?   $$x = - \frac { 13 } { 7 }$$ 
A)    ? $$x = - 13$$ 
B) ?   $$x = \frac { 7 } { 13 }$$ 
C)    ? $$x = - \frac { 7 } { 13 }$$ 
D) ?   $$x = \frac { 13 } { 7 }$$ 
E) ?   $$x = - \frac { 13 } { 7 }$$

Question 11

Find the zeroes of the functions algebraically.? $$f ( x ) = \sqrt { 5 x } - 9$$ ?

Accepted Answer

A)  $x = \pm \frac { 9 } { 5 }$ 
B)  $$x = \pm \frac { 81 } { 5 }$$ 
C) ? $x = \frac { 9 } { 5 }$ 
D) ? $x = \frac { 81 } { 5 }$ 
E) ?no real zeroes 
A)  $x = \pm \frac { 9 } { 5 }$ 
B)  $$x = \pm \frac { 81 } { 5 }$$ 
C) ? $x = \frac { 9 } { 5 }$ 
D) ? $x = \frac { 81 } { 5 }$ 
E) ?no real zeroes

Question 12

Write the height h of the rectangle as a function of x.

Accepted Answer

A) ? $h ( x ) = x ^ { 2 } + 2 x$ 
B) ? $h ( x ) = - 2 x ^ { 2 } + 8 x - 6$ 
C) ? $h ( x ) = - 2 x ^ { 2 } + 8 x - 6$. 
D) ? $h ( x ) = - 2 x ^ { 2 } + 8 x - 4$ 
E) ? $h ( x ) = - 2 x ^ { 2 } + 6 x - 4$ 
A) ? $h ( x ) = x ^ { 2 } + 2 x$ 
B) ? $h ( x ) = - 2 x ^ { 2 } + 8 x - 6$ 
C) ? $h ( x ) = - 2 x ^ { 2 } + 8 x - 6$. 
D) ? $h ( x ) = - 2 x ^ { 2 } + 8 x - 4$ 
E) ? $h ( x ) = - 2 x ^ { 2 } + 6 x - 4$

Question 13

Find the zeros of the function algebraically.? $$f ( x ) = \frac { x } { 9 x ^ { 2 } - 5 }$$ ?

Accepted Answer

A) x = 5 
B) x = 10 
C) x = 9 
D) x = 8 
E) x = 0 
A) x = 5 
B) x = 10 
C) x = 9 
D) x = 8 
E) x = 0

Question 14

?Find the zeros of the function algebraically.?? $$f ( x ) = \frac { x ^ { 2 } - 10 x + 16 } { 7 x }$$

Accepted Answer

A) ? $x = - 2,0,8$ 
B) ? $x = - 8,0,2$ 
C) ? $x = 2,8$ 
D) ? $x = 0,2,8$ 
E) ? $x = - 8 , - 2,0$ 
A) ? $x = - 2,0,8$ 
B) ? $x = - 8,0,2$ 
C) ? $x = 2,8$ 
D) ? $x = 0,2,8$ 
E) ? $x = - 8 , - 2,0$

Question 15

An object is thrown upward from a height of 8 feet at a velocity of 72 feet per second. Use the position equation s = -16t2 + v0t + s0 to select a function that represents the situation and select the graph of the function.
​

Accepted Answer

A) ​ s = -16t2 - 72t + 8 ​   
B) ​ s = -16t2 + 72t ​   
C) ​ s = -16t2 + 72t - 8 ​  
​ 
D) s = -16t2 + 72t + 8 ​   
E) ​ s = -16t2 - 72t - 8 ​   
A) ​ s = -16t2 - 72t + 8 ​   
B) ​ s = -16t2 + 72t ​   
C) ​ s = -16t2 + 72t - 8 ​  
​ 
D) s = -16t2 + 72t + 8 ​   
E) ​ s = -16t2 - 72t - 8 ​

Question 16

Select the graph of the given function and determine the interval(s)for which f(x)≥ 0. ​
F(x)= 5 - x
​

Accepted Answer

A) ​   ​
(∞,-5] 
B) ​   ​
​(-∞,-5] 
C) ​   ​
​(∞,5] 
D) ​   ​
​(-∞,5] 
E) ​   ​
​​(-∞,5] 
A) ​   ​
(∞,-5] 
B) ​   ​
​(-∞,-5] 
C) ​   ​
​(∞,5] 
D) ​   ​
​(-∞,5] 
E) ​   ​
​​(-∞,5]

Question 17

Determine whether the function is even,odd,or neither. ?? $$f ( x ) = 6 x ^ { 3 / 4 }$$ ?

Accepted Answer

A) neither 
B) even 
C) odd 
A) neither 
B) even 
C) odd

Question 18

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. ​
(-x,y)
​

Accepted Answer

A) (-x,-y) 
B) (x,-y) 
C) (-x,y) 
D) (x,y) 
E) None of the above 
A) (-x,-y) 
B) (x,-y) 
C) (-x,y) 
D) (x,y) 
E) None of the above

Question 19

​Use the position equation s = -16t2 + v0t + s0 to write a function that represents the situation and give the average velocity of the object from time t1 to time t2. An object is thrown upward from a height of 38 feet at a velocity of 84 feet per second.
T1 = 1,t2 = 3

Accepted Answer

A) ​s = -16t2 + 38t + 84;avg.velocity = 79 ft/s 
B) ​s = -16t2 + 84t + 38;avg.velocity = 125 ft/s 
C) ​s = -16t2 + 38t + 84;avg.velocity = -26 ft/s 
D) ​s = -16t2 + 84t + 38;avg.velocity = 20 ft/s 
E) ​s = -16t2 + 84t + 38;avg.velocity = 40 ft/s 
A) ​s = -16t2 + 38t + 84;avg.velocity = 79 ft/s 
B) ​s = -16t2 + 84t + 38;avg.velocity = 125 ft/s 
C) ​s = -16t2 + 38t + 84;avg.velocity = -26 ft/s 
D) ​s = -16t2 + 84t + 38;avg.velocity = 20 ft/s 
E) ​s = -16t2 + 84t + 38;avg.velocity = 40 ft/s

Question 20

Select the graph of the function and find the zeros of the function.? $$f ( x ) = x ( x - 6 )$$ ?

Accepted Answer

A) ?   ?x = 0,9 
B) ?   ?x = -6,0 
C) ?   ?x = -6,0 
D) ?   x = 6 
E) ?   x = 0,6 
A) ?   ?x = 0,9 
B) ?   ?x = -6,0 
C) ?   ?x = -6,0 
D) ?   x = 6 
E) ?   x = 0,6

Exam 5: Analyzing Graphs of Functions

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. ​ (4a,6b) ​

Find the graph of the equation.? f(x)=3x−4f ( x ) = \sqrt { 3 x - 4 }f(x)=3x−4​ ?

Find the average rate of change of the function from x1 = 1 to x2 = 6.? f(x)=−x3+2x2+xf ( x ) = - x ^ { 3 } + 2 x ^ { 2 } + xf(x)=−x3+2x2+x ?

Find the zeros of the function algebraically.? f(x)=18x3−xf ( x ) = \frac { 1 } { 8 } x ^ { 3 } - xf(x)=81​x3−x ?

An object is dropped from a height of 60 feet. Use the position equation s = -16t2 + v0t + s0 to write a function that represents the situation and select the graph of the function. ​

Select the graph of the function and find the zeros of the function.? f(x)=2x+3f ( x ) = \sqrt { 2 x + 3 }f(x)=2x+3​ ?

Use a graphing utility to graph the function and find the zeroes of the function.? f(x)=7−3xf ( x ) = 7 - \frac { 3 } { x }f(x)=7−x3​ ?

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even.? (−12,5)\left( - \frac { 1 } { 2 } , 5 \right)(−21​,5) ?

Select the graph of the function and find the zeros of the function.? f(x)=7+13xf ( x ) = 7 + \frac { 13 } { x }f(x)=7+x13​ ?

Find the zeroes of the functions algebraically.? f(x)=5x−9f ( x ) = \sqrt { 5 x } - 9f(x)=5x​−9 ?

Write the height h of the rectangle as a function of x.

Find the zeros of the function algebraically.? f(x)=x9x2−5f ( x ) = \frac { x } { 9 x ^ { 2 } - 5 }f(x)=9x2−5x​ ?

?Find the zeros of the function algebraically.?? f(x)=x2−10x+167xf ( x ) = \frac { x ^ { 2 } - 10 x + 16 } { 7 x }f(x)=7xx2−10x+16​

An object is thrown upward from a height of 8 feet at a velocity of 72 feet per second. Use the position equation s = -16t2 + v0t + s0 to select a function that represents the situation and select the graph of the function. ​

Select the graph of the given function and determine the interval(s)for which f(x)≥ 0. ​ F(x)= 5 - x ​

Determine whether the function is even,odd,or neither. ?? f(x)=6x3/4f ( x ) = 6 x ^ { 3 / 4 }f(x)=6x3/4 ?

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. ​ (-x,y) ​

​Use the position equation s = -16t2 + v0t + s0 to write a function that represents the situation and give the average velocity of the object from time t1 to time t2. An object is thrown upward from a height of 38 feet at a velocity of 84 feet per second. T1 = 1,t2 = 3

Select the graph of the function and find the zeros of the function.? f(x)=x(x−6)f ( x ) = x ( x - 6 )f(x)=x(x−6) ?

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Functions

A Library of Parent Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Radian and Degree Measure

Trigonometric Functions The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Verifying Trigonometric Equations

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple Angle and Product to Sum Formulas

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Linear and Nonlinear Systems of Equations

Two Variable Linear Systems

Multivariable Linear Systems

Partial Fractions

Systems of Inequalities

Linear Programming

Matrices and Systems of Equations

Operations With Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Lines

Introduction to Conics Parabolas

Ellipses

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. (4a,6b)

Find the graph of the equation.? $f ( x ) = \sqrt { 3 x - 4 }$ ?

Find the average rate of change of the function from x₁ = 1 to x₂ = 6.? $f ( x ) = - x ^ { 3 } + 2 x ^ { 2 } + x$ ?

Find the zeros of the function algebraically.? $f ( x ) = \frac { 1 } { 8 } x ^ { 3 } - x$ ?

An object is dropped from a height of 60 feet. Use the position equation s = -16t² + v₀t + s₀ to write a function that represents the situation and select the graph of the function.

Select the graph of the function and find the zeros of the function.? $f ( x ) = \sqrt { 2 x + 3 }$ ?

Use a graphing utility to graph the function and find the zeroes of the function.? $f ( x ) = 7 - \frac { 3 } { x }$ ?

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even.? $\left( - \frac { 1 } { 2 } , 5 \right)$ ?

Select the graph of the function and find the zeros of the function.? $f ( x ) = 7 + \frac { 13 } { x }$ ?

Find the zeroes of the functions algebraically.? $f ( x ) = \sqrt { 5 x } - 9$ ?

Find the zeros of the function algebraically.? $f ( x ) = \frac { x } { 9 x ^ { 2 } - 5 }$ ?

?Find the zeros of the function algebraically.?? $f ( x ) = \frac { x ^ { 2 } - 10 x + 16 } { 7 x }$

An object is thrown upward from a height of 8 feet at a velocity of 72 feet per second. Use the position equation s = -16t₂ + v₀t + s₀ to select a function that represents the situation and select the graph of the function.

Select the graph of the given function and determine the interval(s)for which f(x)≥ 0. F(x)= 5 - x

Determine whether the function is even,odd,or neither. ?? $f ( x ) = 6 x ^ { 3 / 4 }$ ?

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. (-x,y)

Use the position equation s = -16t² + v₀t + s₀ to write a function that represents the situation and give the average velocity of the object from time t₁ to time t₂. An object is thrown upward from a height of 38 feet at a velocity of 84 feet per second. T₁ = 1,t₂ = 3

Select the graph of the function and find the zeros of the function.? $f ( x ) = x ( x - 6 )$ ?