Exam 2: Functions and Graphs

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -If f represents the function, find f(1990).

(Multiple Choice)

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Question 101

Identify the intercepts -

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Question 102

Find the slope of the line that goes through the given points. -(7, -6), (-4, -18)

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Question 103

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

(Multiple Choice)

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Question 104

Determine whether the equation defines y as a function of x. - $y = \sqrt { 6 x + 4 }$

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Question 105

The graph of a function f is given. Use the graph to answer the question. -Find the numbers, if any, at which f has a relative minimum. What are the relative minima?

(Multiple Choice)

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Question 106

Identify the intervals where the function is changing as requested. -Increasing

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Question 107

Identify the intervals where the function is changing as requested. -Decreasing

(Multiple Choice)

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Question 108

Identify the intervals where the function is changing as requested. -Increasing

(Multiple Choice)

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Question 109

Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = - 5 x + 1 ; \quad f ( - 3 )$

(Multiple Choice)

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Question 110

Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = 3 x ^ { 2 } - 3 x - 4 ; \quad f ( x - 1 )$

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Question 111

Find and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ for the given function. - $f ( x ) = 9$

(Multiple Choice)

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Question 112

Identify the intervals where the function is changing as requested. -Decreasing

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Question 113

Determine whether the equation defines y as a function of x. - $x ^ { 2 } + y = 16$

(Multiple Choice)

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Question 114

Use the graph to determine the function's domain and range. -

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Question 115

Use the graph to find the indicated function value. -y = f(x). Find f(-5)

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Question 116

Use the graph to determine the function's domain and range. -

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Question 117

Evaluate the piecewise function at the given value of the independent variable. - $g ( x ) = \left\{ \begin{array} { l l } \frac { x ^ { 2 } + 5 } { x + 8 } & \text { if } x \neq - 8 \\ x - 1 & \text { if } x = - 8 \end{array} \right.$

(Multiple Choice)

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Question 118

Give the domain and range of the relation. -{(-6, -3), (-8, -1), (-4, -7), (8, 2), (5, -4)}

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Question 119

Use the graph of the given function to find any relative maxima and relative minima. - $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1$ $Use the graph of the given function to find any relative maxima and relative minima. - f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1$

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Question 120

Showing 101 - 120 of 144

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -If f represents the function, find f(1990).

Identify the intercepts -

Find the slope of the line that goes through the given points. -(7, -6), (-4, -18)

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

Determine whether the equation defines y as a function of x. - $y = \sqrt { 6 x + 4 }$

The graph of a function f is given. Use the graph to answer the question. -Find the numbers, if any, at which f has a relative minimum. What are the relative minima?

Identify the intervals where the function is changing as requested. -Increasing

Identify the intervals where the function is changing as requested. -Decreasing

Identify the intervals where the function is changing as requested. -Increasing

Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = - 5 x + 1 ; \quad f ( - 3 )$

Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = 3 x ^ { 2 } - 3 x - 4 ; \quad f ( x - 1 )$

Find and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ for the given function. - $f ( x ) = 9$

Identify the intervals where the function is changing as requested. -Decreasing

Determine whether the equation defines y as a function of x. - $x ^ { 2 } + y = 16$

Use the graph to determine the function's domain and range. -

Use the graph to find the indicated function value. -y = f(x). Find f(-5)

Use the graph to determine the function's domain and range. -

Evaluate the piecewise function at the given value of the independent variable. - $g ( x ) = \left\{ \begin{array} { l l } \frac { x ^ { 2 } + 5 } { x + 8 } & \text { if } x \neq - 8 \\ x - 1 & \text { if } x = - 8 \end{array} \right.$

Give the domain and range of the relation. -{(-6, -3), (-8, -1), (-4, -7), (8, 2), (5, -4)}

Use the graph of the given function to find any relative maxima and relative minima. - $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1$ $Use the graph of the given function to find any relative maxima and relative minima. - f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1$

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Filters

Exam 2: Functions and Graphs

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -If f represents the function, find f(1990).

Identify the intercepts -

Find the slope of the line that goes through the given points. -(7, -6), (-4, -18)

Determine whether the equation defines y as a function of x. - y=x2y = x ^ { 2 }y=x2

Determine whether the equation defines y as a function of x. - y=6x+4y = \sqrt { 6 x + 4 }y=6x+4​

The graph of a function f is given. Use the graph to answer the question. -Find the numbers, if any, at which f has a relative minimum. What are the relative minima?

Identify the intervals where the function is changing as requested. -Increasing

Identify the intervals where the function is changing as requested. -Decreasing

Identify the intervals where the function is changing as requested. -Increasing

Evaluate the function at the given value of the independent variable and simplify. - f(x)=−5x+1;f(−3)f ( x ) = - 5 x + 1 ; \quad f ( - 3 )f(x)=−5x+1;f(−3)

Evaluate the function at the given value of the independent variable and simplify. - f(x)=3x2−3x−4;f(x−1)f ( x ) = 3 x ^ { 2 } - 3 x - 4 ; \quad f ( x - 1 )f(x)=3x2−3x−4;f(x−1)

Find and simplify the difference quotient f(x+h)−f(x)h,h≠0\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0hf(x+h)−f(x)​,h=0 for the given function. - f(x)=9f ( x ) = 9f(x)=9

Identify the intervals where the function is changing as requested. -Decreasing

Determine whether the equation defines y as a function of x. - x2+y=16x ^ { 2 } + y = 16x2+y=16

Use the graph to determine the function's domain and range. -

Use the graph to find the indicated function value. -y = f(x). Find f(-5)

Use the graph to determine the function's domain and range. -

Give the domain and range of the relation. -{(-6, -3), (-8, -1), (-4, -7), (8, 2), (5, -4)}

Use the graph of the given function to find any relative maxima and relative minima. - f(x)=x3−3x2+1f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1f(x)=x3−3x2+1

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Filters

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

Determine whether the equation defines y as a function of x. - $y = \sqrt { 6 x + 4 }$

Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = - 5 x + 1 ; \quad f ( - 3 )$

Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = 3 x ^ { 2 } - 3 x - 4 ; \quad f ( x - 1 )$

Find and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ for the given function. - $f ( x ) = 9$

Determine whether the equation defines y as a function of x. - $x ^ { 2 } + y = 16$

Use the graph of the given function to find any relative maxima and relative minima. - $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1$ $Use the graph of the given function to find any relative maxima and relative minima. - f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1$