Exam 3: Graphs and Functions

Give a rule for the piecewise-defined function. Then give the domain and range. - $\mathrm{f}(\mathrm{x})=\llbracket \mathrm{x} \rrbracket \rrbracket+1$ $Give a rule for the piecewise-defined function. Then give the domain and range. - \mathrm{f}(\mathrm{x})=\llbracket \mathrm{x} \rrbracket \rrbracket+1$

(Multiple Choice)

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Question 141

Find the center-radius form of the equation of the circle. -center $( 1 , - 1 )$ , radius 6

(Multiple Choice)

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Question 142

Find the slope of the line satisfying the given conditions. -through $( 7 , - 7 )$ and $( 6,9 )$

(Multiple Choice)

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Question 143

The figure below shows the graph of a functio $y = f ( x )$ e this graph to - $\text { Sketch the graph of } y = f ( - x ) \text {. }$ $The figure below shows the graph of a functio y = f ( x ) e this graph to - \text { Sketch the graph of } y = f ( - x ) \text {. }$

(Multiple Choice)

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Question 144

Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$ - $h ( x ) = \frac { 10 } { x ^ { 2 } } + 10$

(Multiple Choice)

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Question 145

Find the center-radius form of the equation of the circle. -center (0, 2), radius 4

(Multiple Choice)

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Question 146

Suppose a car rental company charges $72 for the first day and $22 for each additional or partial day. Let S(x) represent the cost of renting a car for x days. Find the value of S(5.5).

(Multiple Choice)

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Question 147

The charges for renting a moving van are $\$ 65$ for the first 40 miles and $\$ 5$ for each additional mile. Assume that a fraction of a mile is rounded up. (i) Determine the cost of driving the van 84 miles. (ii) Find a symbolic representation for a function $\mathrm { f }$ that computes the cost of driving the van $x$ miles, where $0 < x \leq 100$ . (Hint: express $\mathrm { f }$ as a piecewise-constant function.)

(Multiple Choice)

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Question 148

In Country X, the average hourly wage in dollars from 1960 to 2010 can be modeled by $f ( x ) = \left\{ \begin{array} { l l } 0.077 ( x - 1960 ) + 0.39 & \text { if } 1960 \leq x < 1995 \\0.189 ( x - 1995 ) + 3.06 & \text { if } 1995 \leq x \leq 2010\end{array} \right.$ Use f to estimate the average hourly wages in 1965, 1985, and 2005.

(Multiple Choice)

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Question 149

For the given functions f and g , find the indicated composition. - $f ( x ) = \sqrt { x + 10 } , \quad g ( x ) = 8 x - 14$ $( \mathrm { f } \mathrm { g } ) ( \mathrm { x } )$

(Multiple Choice)

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Question 150

Give the domain and range of the relation. -

(Multiple Choice)

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Question 151

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f(x)=6(-x)^{3}$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f(x)=6(-x)^{3}$

(Multiple Choice)

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Question 152

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $h(x)=3 x$

(Multiple Choice)

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Question 153

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -During which two hour period did the temperature increase the most?

(Multiple Choice)

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Question 154

Determine whether the three points are collinear. -Which one is the graph of $y = x ^ { 3 }$ ? What is its range?

(Multiple Choice)

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Question 155

Find the center-radius form of the circle described or graphed. -a circle having a diameter with endpoints $( 4 , - 6 )$ and $( - 6 , - 5 )$

(Multiple Choice)

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Question 156

Give the domain and range of the relation. -Find $f ( k - 1 )$ when $f ( x ) = 5 x ^ { 2 } + 5 x + 5$

(Multiple Choice)

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Question 157

Describe how the graph of the equation relates to the graph $y = x ^ { 2 }$ - $f ( x ) = x ^ { 2 } + 7$

(Multiple Choice)

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Question 158

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant. -

(Multiple Choice)

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Question 159

Give the domain and range of the relation. -

(Multiple Choice)

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Question 160

Showing 141 - 160 of 531

Find the center-radius form of the equation of the circle. -center $( 1 , - 1 )$ , radius 6

Find the slope of the line satisfying the given conditions. -through $( 7 , - 7 )$ and $( 6,9 )$

The figure below shows the graph of a functio $y = f ( x )$ e this graph to - $\text { Sketch the graph of } y = f ( - x ) \text {. }$ $The figure below shows the graph of a functio y = f ( x ) e this graph to - \text { Sketch the graph of } y = f ( - x ) \text {. }$

Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$ - $h ( x ) = \frac { 10 } { x ^ { 2 } } + 10$

Find the center-radius form of the equation of the circle. -center (0, 2), radius 4

Suppose a car rental company charges $72 for the first day and $22 for each additional or partial day. Let S(x) represent the cost of renting a car for x days. Find the value of S(5.5).

For the given functions f and g , find the indicated composition. - $f ( x ) = \sqrt { x + 10 } , \quad g ( x ) = 8 x - 14$ $( \mathrm { f } \mathrm { g } ) ( \mathrm { x } )$

Give the domain and range of the relation. -

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f(x)=6(-x)^{3}$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f(x)=6(-x)^{3}$

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $h(x)=3 x$

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -During which two hour period did the temperature increase the most?

Determine whether the three points are collinear. -Which one is the graph of $y = x ^ { 3 }$ ? What is its range?

Find the center-radius form of the circle described or graphed. -a circle having a diameter with endpoints $( 4 , - 6 )$ and $( - 6 , - 5 )$

Give the domain and range of the relation. -Find $f ( k - 1 )$ when $f ( x ) = 5 x ^ { 2 } + 5 x + 5$

Describe how the graph of the equation relates to the graph $y = x ^ { 2 }$ - $f ( x ) = x ^ { 2 } + 7$

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant. -

Give the domain and range of the relation. -

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Exam 3: Graphs and Functions

Give a rule for the piecewise-defined function. Then give the domain and range. - f(x)=⟦x⟧⟧+1\mathrm{f}(\mathrm{x})=\llbracket \mathrm{x} \rrbracket \rrbracket+1f(x)=[[x]]]]+1

Find the center-radius form of the equation of the circle. -center (1,−1)( 1 , - 1 )(1,−1) , radius 6

Find the slope of the line satisfying the given conditions. -through (7,−7)( 7 , - 7 )(7,−7) and (6,9)( 6,9 )(6,9)

The figure below shows the graph of a functio y=f(x)y = f ( x )y=f(x) e this graph to - Sketch the graph of y=f(−x). \text { Sketch the graph of } y = f ( - x ) \text {. } Sketch the graph of y=f(−x).

Consider the function h as defined. Find functions f and g so tha (f∘g)(x)=h(x)( f \circ g ) ( x ) = h ( x )(f∘g)(x)=h(x) - h(x)=10x2+10h ( x ) = \frac { 10 } { x ^ { 2 } } + 10h(x)=x210​+10

Find the center-radius form of the equation of the circle. -center (0, 2), radius 4

Suppose a car rental company charges $72 for the first day and $22 for each additional or partial day. Let S(x) represent the cost of renting a car for x days. Find the value of S(5.5).

For the given functions f and g , find the indicated composition. - f(x)=x+10,g(x)=8x−14f ( x ) = \sqrt { x + 10 } , \quad g ( x ) = 8 x - 14f(x)=x+10​,g(x)=8x−14 (fg)(x)( \mathrm { f } \mathrm { g } ) ( \mathrm { x } )(fg)(x)

Give the domain and range of the relation. -

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - f(x)=6(−x)3f(x)=6(-x)^{3}f(x)=6(−x)3

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - h(x)=3xh(x)=3 xh(x)=3x

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -During which two hour period did the temperature increase the most?

Determine whether the three points are collinear. -Which one is the graph of y=x3y = x ^ { 3 }y=x3 ? What is its range?

Find the center-radius form of the circle described or graphed. -a circle having a diameter with endpoints (4,−6)( 4 , - 6 )(4,−6) and (−6,−5)( - 6 , - 5 )(−6,−5)

Give the domain and range of the relation. -Find f(k−1)f ( k - 1 )f(k−1) when f(x)=5x2+5x+5f ( x ) = 5 x ^ { 2 } + 5 x + 5f(x)=5x2+5x+5

Describe how the graph of the equation relates to the graph y=x2y = x ^ { 2 }y=x2 - f(x)=x2+7f ( x ) = x ^ { 2 } + 7f(x)=x2+7

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant. -

Give the domain and range of the relation. -

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Find the center-radius form of the equation of the circle. -center $( 1 , - 1 )$ , radius 6

Find the slope of the line satisfying the given conditions. -through $( 7 , - 7 )$ and $( 6,9 )$

The figure below shows the graph of a functio $y = f ( x )$ e this graph to - $\text { Sketch the graph of } y = f ( - x ) \text {. }$ $The figure below shows the graph of a functio y = f ( x ) e this graph to - \text { Sketch the graph of } y = f ( - x ) \text {. }$

Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$ - $h ( x ) = \frac { 10 } { x ^ { 2 } } + 10$

For the given functions f and g , find the indicated composition. - $f ( x ) = \sqrt { x + 10 } , \quad g ( x ) = 8 x - 14$ $( \mathrm { f } \mathrm { g } ) ( \mathrm { x } )$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f(x)=6(-x)^{3}$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - f(x)=6(-x)^{3}$

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $h(x)=3 x$

Determine whether the three points are collinear. -Which one is the graph of $y = x ^ { 3 }$ ? What is its range?

Find the center-radius form of the circle described or graphed. -a circle having a diameter with endpoints $( 4 , - 6 )$ and $( - 6 , - 5 )$

Give the domain and range of the relation. -Find $f ( k - 1 )$ when $f ( x ) = 5 x ^ { 2 } + 5 x + 5$

Describe how the graph of the equation relates to the graph $y = x ^ { 2 }$ - $f ( x ) = x ^ { 2 } + 7$