Question 1

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function.
-$$F ( x ) = x ^ { 2 } - 3$$

Accepted Answer

A)  $x = \sqrt { 3 }$ 
B)  $x = - 3 , x = 3$ 
C)  $x = \sqrt { 3 } , x = - \sqrt { 3 }$ 
D)  $x = 3$ 
A)  $x = \sqrt { 3 }$ 
B)  $x = - 3 , x = 3$ 
C)  $x = \sqrt { 3 } , x = - \sqrt { 3 }$ 
D)  $x = 3$

Question 2

Solve the problem.
-Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 40 feet of fencing to go around it, what dimensions will give him the maximum area in the garden? A) width $= \frac { 40 } { \pi + 4 } \approx 5.6$, length $= 11.2$

Accepted Answer

B)  width $= \frac { 80 } { \pi + 8 } \approx 7.2$, length $= 10.8$ 
C)  width $= \frac { 80 } { \pi + 4 } \approx 11.2$, length $= 14.4$ 
D)  width $= \frac { 80 } { \pi + 4 } \approx 11.2$, length $= 5.6$ 
B)  width $= \frac { 80 } { \pi + 8 } \approx 7.2$, length $= 10.8$ 
C)  width $= \frac { 80 } { \pi + 4 } \approx 11.2$, length $= 14.4$ 
D)  width $= \frac { 80 } { \pi + 4 } \approx 11.2$, length $= 5.6$

Question 3

Solve the problem.
-The one-day temperatures for 12 world cities along with their latitudes are shown in the table below. Make a
scatter diagram for the data. Then find the line of best fit and graph it on the scatter diagram. $$\begin{array} { c | c | c } 
\text { City } & \text { Temperature (F) } & \text { Latitude } \
\hline \text { Oslo, Norway } & 30 ^ { \circ } & 59 ^ { \circ } \
\text { Seattle, WA } & 57 ^ { \circ } & 47 ^ { \circ } \
\text { Anchorage, AK } & 40 ^ { \circ } & 61 ^ { \circ } \
\text { Paris, France } & 61 ^ { \circ } & 48 ^ { \circ } \
\text { Vancouver, Canada } & 54 ^ { \circ } & 49 ^ { \circ } \
\text { London, England } & 48 ^ { \circ } & 51 ^ { \circ } \
\text { Tokyo, Japan } & 55 ^ { \circ } & 35 ^ { \circ } \
\text { Cairo, Egypt } & 82 ^ { \circ } & 30 ^ { \circ } \
\text { Mexico City, Mexicp } & 84 ^ { \circ } & 19 ^ { \circ } \
\text { Miami, FL } & 81 ^ { \circ } & 25 ^ { \circ } \
\text { New Delhi, India } & 95 ^ { \circ } & 28 ^ { \circ } \
\text { Manila, Philippines } & 93 ^ { \circ } & 14 ^ { \circ }
\end{array}$$ Latitude (degrees)   Temperature (F)°

Accepted Answer

@#LAT-DLM&
@#IMG-DLM&

Temperature (F)°

Question 4

Solve the inequality.
-$$x ^ { 2 } - 9 x \geq 0$$

Accepted Answer

A)  $[ 0,9 ]$ 
B)  $[ - 9,0 ]$ 
C)  $( - \infty , - 9 ]$ or $[ 0 , \infty )$ 
D)  $( - \infty , 0 ]$ or $[ 9 , \infty )$ 
A)  $[ 0,9 ]$ 
B)  $[ - 9,0 ]$ 
C)  $( - \infty , - 9 ]$ or $[ 0 , \infty )$ 
D)  $( - \infty , 0 ]$ or $[ 9 , \infty )$

Question 5

Solve the problem.
-Suppose that the quantity supplied S and quantity demanded D of baseball caps at a major league game are given by the functions S(p) = 5,000 - 100p and D(p) = 150p, where p is the price. Find the equilibrium price for
Caps at the game. Then find the equilibrium quantity.

Accepted Answer

A)  $20, $3,000 
B)  $33, $1,700 
C)  $50, $0 
D)  $50, $3,000 
A)  $20, $3,000 
B)  $33, $1,700 
C)  $50, $0 
D)  $50, $3,000

Question 6

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the
graph of the function.
-$$\mathrm { F } ( \mathrm { x } ) = 5 \mathrm { x } ^ { 2 } - 7 \mathrm { x } - 1$$

Accepted Answer

A)  $x = \frac { 7 + \sqrt { 69 } } { 10 }$ 
B)  $x = \frac { - 7 \pm \sqrt { 69 } } { 10 }$ 
C)  $x = \frac { 7 \pm \sqrt { 69 } } { 10 }$ 
D)  No real zeros or x-intercepts 
A)  $x = \frac { 7 + \sqrt { 69 } } { 10 }$ 
B)  $x = \frac { - 7 \pm \sqrt { 69 } } { 10 }$ 
C)  $x = \frac { 7 \pm \sqrt { 69 } } { 10 }$ 
D)  No real zeros or x-intercepts

Question 7

Solve the inequality.
-$$x ^ { 2 } - 7 x \geq - 12$$

Accepted Answer

A)  $( - \infty , 3 ]$ 
B)  $[ 3,4 ]$ 
C)  $( - \infty , 3 ]$ or $[ 4 , \infty )$ 
D)  $[ 4 , \infty )$ 
A)  $( - \infty , 3 ]$ 
B)  $[ 3,4 ]$ 
C)  $( - \infty , 3 ]$ or $[ 4 , \infty )$ 
D)  $[ 4 , \infty )$

Question 8

Determine the domain and the range of the function.
-$$f ( x ) = x ^ { 2 } - 12 x + 36$$

Accepted Answer

A)  domain: all real numbers
range: $\{ y \mid y \geq 0 \}$ 
B)  domain: all real numbers 
range: $\{ y \mid y \geq 36 \}$ 
C)  domain: $\{ x \mid x \geq - 6 \}$
range: $\{ \mathrm { y } \mid \mathrm { y } \geq 0 \}$ 
D)  domain: $\{ x \mid x \geq 6 \}$
range: $\left\{ y ^ { \mid } \mid y \geq 0 \right\}$ 
A)  domain: all real numbers
range: $\{ y \mid y \geq 0 \}$ 
B)  domain: all real numbers 
range: $\{ y \mid y \geq 36 \}$ 
C)  domain: $\{ x \mid x \geq - 6 \}$
range: $\{ \mathrm { y } \mid \mathrm { y } \geq 0 \}$ 
D)  domain: $\{ x \mid x \geq 6 \}$
range: $\left\{ y ^ { \mid } \mid y \geq 0 \right\}$

Question 9

Find the zero of the linear function.
-$$h ( x ) = - 2 x + 3$$

Accepted Answer

A)  $- 1$ 
B)  $- \frac { 2 } { 3 }$ 
C)  1 
D)  $\frac { 3 } { 2 }$ 
A)  $- 1$ 
B)  $- \frac { 2 } { 3 }$ 
C)  1 
D)  $\frac { 3 } { 2 }$

Question 10

Determine the slope and y-intercept of the function.
-$$G ( x ) = - 5 x$$

Accepted Answer

A)  $m = 5 ; b = 0$ 
B)  $m = 0 ; b = - 5$ 
C)  $\mathrm { m } = - 5 ; \mathrm { b } = 0$ 
D)  $\mathrm { m } = - \frac { 1 } { 5 } ; \mathrm { b } = 0$ 
A)  $m = 5 ; b = 0$ 
B)  $m = 0 ; b = - 5$ 
C)  $\mathrm { m } = - 5 ; \mathrm { b } = 0$ 
D)  $\mathrm { m } = - \frac { 1 } { 5 } ; \mathrm { b } = 0$

Question 11

Solve the problem.
-3 + 6i is a zero of a quadratic function with real coefficients. Find the other zero.

Accepted Answer

A)  3 - 6i 
B)  6i - 3 
C)  -3 - 6i 
D)  9 
A)  3 - 6i 
B)  6i - 3 
C)  -3 - 6i 
D)  9

Question 12

Graph the function. State whether it is increasing, decreasing, or constant..
-$p(x)=-x+2$
 
 A) increasing

Accepted Answer

B)  decreasing
  
C)  increasing
  
D)  decreasing
  
B)  decreasing
  
C)  increasing
  
D)  decreasing

Question 13

Find the complex zeros of the quadratic function.
-$$h ( x ) = x ^ { 2 } - 12 x + 61$$

Accepted Answer

A)  $x = 1 , x = 11$ 
B)  $x = 6 - 5 i , x = 6 + 5 i$ 
C)  $x = 6 + 5 i$ 
D)  $x = 6 - 25 i , x = 6 + 25 i$ 
A)  $x = 1 , x = 11$ 
B)  $x = 6 - 5 i , x = 6 + 5 i$ 
C)  $x = 6 + 5 i$ 
D)  $x = 6 - 25 i , x = 6 + 25 i$

Question 14

Determine if the type of relation is linear, nonlinear, or none.
-

Accepted Answer

A)  none 
B)  linear 
C)  nonlinear 
A)  none 
B)  linear 
C)  nonlinear

Question 15

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-An engineer collects data showing the speed s of a given car model and its average miles per gallon M. Use a graphing calculator to plot the scatter diagram. What is the quadratic function of best fit? $\begin{array}{l|c}
\text { Speed, s } & \mathrm{mph}, \mathrm{M} \
\hline 20 & 18 \
30 & 20 \
40 & 23 \
50 & 25 \
60 & 28 \
70 & 24 \
80 & 22
\end{array}$

Accepted Answer

A)  $\mathrm { M } ( \mathrm { s } ) = 0.063 \mathrm { x } ^ { 2 } + 0.720 \mathrm { x } + 5.142$ 
B)  $M ( s ) = - 6.309 x ^ { 2 } + 0.720 x + 5.142$ 
C)  $\mathrm { M } ( \mathrm { s } ) = - 0.0063 \mathrm { x } ^ { 2 } + 0.720 \mathrm { x } + 5.142$ 
D)  $\mathrm { M } ( \mathrm { s } ) = - 0.631 \mathrm { x } ^ { 2 } + 0.720 \mathrm { x } + 5.142$ 
A)  $\mathrm { M } ( \mathrm { s } ) = 0.063 \mathrm { x } ^ { 2 } + 0.720 \mathrm { x } + 5.142$ 
B)  $M ( s ) = - 6.309 x ^ { 2 } + 0.720 x + 5.142$ 
C)  $\mathrm { M } ( \mathrm { s } ) = - 0.0063 \mathrm { x } ^ { 2 } + 0.720 \mathrm { x } + 5.142$ 
D)  $\mathrm { M } ( \mathrm { s } ) = - 0.631 \mathrm { x } ^ { 2 } + 0.720 \mathrm { x } + 5.142$

Question 16

Find the vertex and axis of symmetry of the graph of the function.
-$$f ( x ) = x ^ { 2 } + 6 x$$

Accepted Answer

A)  $( 3 , - 9 ) ; x = 3$ 
B)  $( 9 , - 3 ) ; x = 9$ 
C)  $( - 9,3 ) ; x = - 9$ 
D)  $( - 3 , - 9 ) ; x = - 3$ 
A)  $( 3 , - 9 ) ; x = 3$ 
B)  $( 9 , - 3 ) ; x = 9$ 
C)  $( - 9,3 ) ; x = - 9$ 
D)  $( - 3 , - 9 ) ; x = - 3$

Question 17

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then
find that value.
-$$f ( x ) = x ^ { 2 } + 2 x - 6$$

Accepted Answer

A)  minimum; - 7 
B)  maximum; - 1 
C)  maximum; - 7 
D)  minimum; - 1 
A)  minimum; - 7 
B)  maximum; - 1 
C)  maximum; - 7 
D)  minimum; - 1

Question 18

Use the slope and y-intercept to graph the linear function.
-$$f ( x ) = \frac { 1 } { 2 } x - 3$$
 
 A)

Accepted Answer

B) 
  
C) 
  
D) 
  
B) 
  
C) 
  
D)

Question 19

Solve the problem.
-Suppose that $f ( x ) = - x - 6$ and $g ( x ) = x - 11$.
(a) Solve $f ( x ) = 0$.
(b) Solve $g ( x ) = 0$.
(c) Solve $f ( x ) = g ( x )$.

Accepted Answer

A)  (a) $x = 6$; (b) $x = 11$; (c) $x = 2.5$ 
B)  $( \mathrm { a } ) \mathrm { x } = - 6$;(b) $x = 11$;(c) $x = 2.5$ 
C)  (a) $x = - 6$;(b) $x = 11$;(c) $x = - 8.5$ 
D)  (a) $x = - 6$;(b) $x = - 11$;(c) $x = 2.5$ 
A)  (a) $x = 6$; (b) $x = 11$; (c) $x = 2.5$ 
B)  $( \mathrm { a } ) \mathrm { x } = - 6$;(b) $x = 11$;(c) $x = 2.5$ 
C)  (a) $x = - 6$;(b) $x = 11$;(c) $x = - 8.5$ 
D)  (a) $x = - 6$;(b) $x = - 11$;(c) $x = 2.5$

Question 20

Determine the domain and the range of the function.
-$$f ( x ) = x ^ { 2 } + 12 x$$

Accepted Answer

A)  domain: all real numbers
range: $\{ y \mid y \geq - 36 \}$ 
B)  domain: $\{ x \mid x \geq 6 \}$ 
range: $\{ y \mid y \geq  36 \}$ 
C)  domain: $\{ x \mid x \geq - 6 \}$
range: $\{ y \mid y \geq - 36 \}$ 
D)  domain: all real numbers  
range: $\{ y \mid y \geq 36 \}$ 
A)  domain: all real numbers
range: $\{ y \mid y \geq - 36 \}$ 
B)  domain: $\{ x \mid x \geq 6 \}$ 
range: $\{ y \mid y \geq  36 \}$ 
C)  domain: $\{ x \mid x \geq - 6 \}$
range: $\{ y \mid y \geq - 36 \}$ 
D)  domain: all real numbers  
range: $\{ y \mid y \geq 36 \}$

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function. - $F ( x ) = x ^ { 2 } - 3$

Solve the inequality. - $x ^ { 2 } - 9 x \geq 0$

Solve the problem. -Suppose that the quantity supplied S and quantity demanded D of baseball caps at a major league game are given by the functions S(p) = 5,000 - 100p and D(p) = 150p, where p is the price. Find the equilibrium price for Caps at the game. Then find the equilibrium quantity.

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $\mathrm { F } ( \mathrm { x } ) = 5 \mathrm { x } ^ { 2 } - 7 \mathrm { x } - 1$

Solve the inequality. - $x ^ { 2 } - 7 x \geq - 12$

Determine the domain and the range of the function. - $f ( x ) = x ^ { 2 } - 12 x + 36$

Find the zero of the linear function. - $h ( x ) = - 2 x + 3$

Determine the slope and y-intercept of the function. - $G ( x ) = - 5 x$

Solve the problem. -3 + 6i is a zero of a quadratic function with real coefficients. Find the other zero.

Graph the function. State whether it is increasing, decreasing, or constant.. - $p(x)=-x+2$ A) increasing B) decreasing C) increasing D) decreasing

Find the complex zeros of the quadratic function. - $h ( x ) = x ^ { 2 } - 12 x + 61$

Determine if the type of relation is linear, nonlinear, or none. -

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = x ^ { 2 } + 6 x$

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = x ^ { 2 } + 2 x - 6$

Solve the problem. -Suppose that $f ( x ) = - x - 6$ and $g ( x ) = x - 11$ . (a) Solve $f ( x ) = 0$ . (b) Solve $g ( x ) = 0$ . (c) Solve $f ( x ) = g ( x )$ .

Determine the domain and the range of the function. - $f ( x ) = x ^ { 2 } + 12 x$

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Review

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Exam 2: Linear and Quadratic Functions

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function. - F(x)=x2−3F ( x ) = x ^ { 2 } - 3F(x)=x2−3

Solve the inequality. - x2−9x≥0x ^ { 2 } - 9 x \geq 0x2−9x≥0