Exam 1: Functions and Their Graphs

Based on the graph, find the range of y = f(x). - $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 3 } x & \text { if } x \neq 0 \\6 & \text { if } x = 0\end{array} \right.$ $Based on the graph, find the range of y = f(x). - f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 3 } x & \text { if } x \neq 0 \\ 6 & \text { if } x = 0 \end{array} \right.$

(Multiple Choice)

4.8/5

(36)

Question 201

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = 2 x ^ { 3 } - 4$

(Multiple Choice)

4.9/5

(35)

Question 202

Solve the problem. -If an object weighs m pounds at sea level, then its weight W (in pounds) at a height of h miles above sea level is given approximately by W(h) $W ( h ) = m \left( \frac { 4000 } { 4000 + h } \right) ^ { 2 }$ . How much will a man who weighs 165 pounds at sea level Weigh on the top of a mountain which is 14,494 feet above sea level? Round to the nearest hundredth of a Pound, if necessary.

(Multiple Choice)

4.8/5

(37)

Question 203

If y varies directly as x, find a linear function which relates them. - $y = 3 \text { when } x = \frac { 1 } { 4 }$

(Multiple Choice)

4.7/5

(41)

Question 204

Solve the problem. -A rocket is shot straight up in the air from the ground at a rate of 62 feet per second. The rocket is tracked by a range finder that is 450 feet from the launch pad. Let d represent the distance from the rocket to the range finder And t represent the time, in seconds, since "blastoff". Express d as a function of t.

(Multiple Choice)

4.9/5

(37)

Question 205

For the given functions f and g, find the requested function and state its domain. -f(x) = 3x - 4; g(x) = 6x - 2 Find f · g.

(Multiple Choice)

4.8/5

(34)

Question 206

Solve the problem. -A cellular phone plan had the following schedule of charges: Basic service, including 100 minutes of calls $20.00 per month 2nd 100 minutes of calls $0.075 per minute Additional minutes of calls $0.10 per minute What is the charge for 200 minutes of calls in one month? What is the charge for 250 minutes of calls in one month? Construct a function that relates the monthly charge C for x minutes of calls.

(Essay)

4.9/5

(33)

Question 207

Find the function. -Find the function that is finally graphed after the following transformations are applied to the graph of y = x. The graph is shifted down 4 units, reflected about the y-axis, and finally shifted left 6 units.

(Multiple Choice)

4.7/5

(35)

Question 208

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(0, 3)

(Multiple Choice)

4.7/5

(26)

Question 209

If y varies directly as x, find a linear function which relates them. -y = 24 when x = 9

(Multiple Choice)

4.8/5

(38)

Question 210

Graph the function. -f(x)=1

(Multiple Choice)

4.7/5

(39)

Question 211

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = | x + 4 |$

(Multiple Choice)

4.8/5

(27)

Question 212

Answer the question about the given function. -Given the functi $f ( x ) = - 3 x ^ { 2 } + 6 x - 4$ , list the y-intercept, if there is one, of the graph of f.

(Multiple Choice)

4.7/5

(48)

Question 213

Determine whether the equation defines y as a function of x. - $y = 2 x ^ { 2 } - 5 x + 9$

(Multiple Choice)

4.8/5

(38)

Question 214

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = \frac { 1 } { 2 } \sqrt { x }$ $Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f ( x ) = \frac { 1 } { 2 } \sqrt { x }$

(Multiple Choice)

4.7/5

(30)

Question 215

Find the value for the function. -Find $( - x ) \text { when } f ( x ) = 2 x ^ { 2 } - 3 x - 2$

(Multiple Choice)

4.9/5

(35)

Question 216

Solve the problem. -Elissa wants to set up a rectangular dog run in her backyard. She has 20 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.

(Multiple Choice)

4.9/5

(32)

Question 217

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places. - $f ( x ) = x ^ { 5 } - x ^ { 2 } ; ( - 2,2 )$

(Essay)

4.7/5

(40)

Question 218

Given the functi , list the y-intercept, if there is one, of the graph of f. - $f ( x ) = \frac { x ^ { 2 } + 7 } { x + 3 }$

(Multiple Choice)

4.7/5

(38)

Question 219

Solve the problem. -Let P = (x, y) be a point on the graph of y $y = \sqrt { x }$ . Express the distance d from P to the point (1, 0) as a function of x.

(Multiple Choice)

4.9/5

(34)

Question 220

Showing 201 - 220 of 276

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = 2 x ^ { 3 } - 4$

If y varies directly as x, find a linear function which relates them. - $y = 3 \text { when } x = \frac { 1 } { 4 }$

For the given functions f and g, find the requested function and state its domain. -f(x) = 3x - 4; g(x) = 6x - 2 Find f · g.

Find the function. -Find the function that is finally graphed after the following transformations are applied to the graph of y = x. The graph is shifted down 4 units, reflected about the y-axis, and finally shifted left 6 units.

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(0, 3)

If y varies directly as x, find a linear function which relates them. -y = 24 when x = 9

Graph the function. -f(x)=1

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = | x + 4 |$

Answer the question about the given function. -Given the functi $f ( x ) = - 3 x ^ { 2 } + 6 x - 4$ , list the y-intercept, if there is one, of the graph of f.

Determine whether the equation defines y as a function of x. - $y = 2 x ^ { 2 } - 5 x + 9$

Find the value for the function. -Find $( - x ) \text { when } f ( x ) = 2 x ^ { 2 } - 3 x - 2$

Solve the problem. -Elissa wants to set up a rectangular dog run in her backyard. She has 20 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places. - $f ( x ) = x ^ { 5 } - x ^ { 2 } ; ( - 2,2 )$

Given the functi , list the y-intercept, if there is one, of the graph of f. - $f ( x ) = \frac { x ^ { 2 } + 7 } { x + 3 }$

Solve the problem. -Let P = (x, y) be a point on the graph of y $y = \sqrt { x }$ . Express the distance d from P to the point (1, 0) as a function of x.

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Exam 1: Functions and Their Graphs

Based on the graph, find the range of y = f(x). - f(x)={13x if x≠06 if x=0f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 3 } x & \text { if } x \neq 0 \\6 & \text { if } x = 0\end{array} \right.f(x)={31​x6​ if x=0 if x=0​

Determine algebraically whether the function is even, odd, or neither. - f(x)=2x3−4f ( x ) = 2 x ^ { 3 } - 4f(x)=2x3−4

If y varies directly as x, find a linear function which relates them. - y=3 when x=14y = 3 \text { when } x = \frac { 1 } { 4 }y=3 when x=41​

For the given functions f and g, find the requested function and state its domain. -f(x) = 3x - 4; g(x) = 6x - 2 Find f · g.

Find the function. -Find the function that is finally graphed after the following transformations are applied to the graph of y = x. The graph is shifted down 4 units, reflected about the y-axis, and finally shifted left 6 units.

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(0, 3)

If y varies directly as x, find a linear function which relates them. -y = 24 when x = 9

Graph the function. -f(x)=1

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=∣x+4∣f ( x ) = | x + 4 |f(x)=∣x+4∣

Answer the question about the given function. -Given the functi f(x)=−3x2+6x−4f ( x ) = - 3 x ^ { 2 } + 6 x - 4f(x)=−3x2+6x−4 , list the y-intercept, if there is one, of the graph of f.

Determine whether the equation defines y as a function of x. - y=2x2−5x+9y = 2 x ^ { 2 } - 5 x + 9y=2x2−5x+9

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=12xf ( x ) = \frac { 1 } { 2 } \sqrt { x }f(x)=21​x​

Find the value for the function. -Find (−x) when f(x)=2x2−3x−2( - x ) \text { when } f ( x ) = 2 x ^ { 2 } - 3 x - 2(−x) when f(x)=2x2−3x−2

Solve the problem. -Elissa wants to set up a rectangular dog run in her backyard. She has 20 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.

Given the functi , list the y-intercept, if there is one, of the graph of f. - f(x)=x2+7x+3f ( x ) = \frac { x ^ { 2 } + 7 } { x + 3 }f(x)=x+3x2+7​

Solve the problem. -Let P = (x, y) be a point on the graph of y y=xy = \sqrt { x }y=x​ . Express the distance d from P to the point (1, 0) as a function of x.

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = 2 x ^ { 3 } - 4$

If y varies directly as x, find a linear function which relates them. - $y = 3 \text { when } x = \frac { 1 } { 4 }$

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - $f ( x ) = | x + 4 |$

Answer the question about the given function. -Given the functi $f ( x ) = - 3 x ^ { 2 } + 6 x - 4$ , list the y-intercept, if there is one, of the graph of f.

Determine whether the equation defines y as a function of x. - $y = 2 x ^ { 2 } - 5 x + 9$

Find the value for the function. -Find $( - x ) \text { when } f ( x ) = 2 x ^ { 2 } - 3 x - 2$

Given the functi , list the y-intercept, if there is one, of the graph of f. - $f ( x ) = \frac { x ^ { 2 } + 7 } { x + 3 }$

Solve the problem. -Let P = (x, y) be a point on the graph of y $y = \sqrt { x }$ . Express the distance d from P to the point (1, 0) as a function of x.