Exam 2: Functions and Linear Functions

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -Does the graph represent a function?

(Multiple Choice)

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Question 121

Decide whether the relation is a function. -{(-3, 6), (-1, -6), (2, 9), (2, 4)}

(Multiple Choice)

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Question 122

Rewrite the given equation in slope-intercept form by solving for y. -

(Multiple Choice)

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Question 123

Use intercepts and a checkpoint to graph the linear function. - $x - 3 y = - 6$

(Multiple Choice)

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Question 124

Find the indicated function value. - $f ( x ) = 9 - 7 x , g ( x ) = - 3 x + 7$ Find $( f + g ) ( x )$ .

(Multiple Choice)

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Question 125

Find the slope of the line that goes through the given points. -

(Multiple Choice)

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Question 126

Find the indicated function value. - $f ( x ) = 2 x - 5 , g ( x ) = 2 x ^ { 2 } + 2 x - 1$ Find $( f + g ) ( 4 )$ .

(Multiple Choice)

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Question 127

Use the graph to find the indicated function value. -y = f(x). Find f(3)

(Multiple Choice)

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Question 128

Solve the problem. -A firm making microwave ovens finds that the total cost, C(x), of producing x units is given by C(x) = 55x + 600. The revenue, R(x), from selling x units is determined by the price per unit times the number of units sold, thus R(x) = 65x. Find and interpret (R -C)(42).

(Multiple Choice)

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Question 129

Find the domain and range. -{(9,-6), (9,-2), (6,-9), (-11,6), (-10,-8)}

(Multiple Choice)

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Question 130

Use intercepts and a checkpoint to graph the linear function. -2x - 4y = 6

(Multiple Choice)

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Question 131

Decide whether the relation is a function. -{(-5, -2), (-2, -4), (3, -1), (3, 7)}

(Multiple Choice)

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Question 132

Find the requested value. - $f ( x ) = - 5 x ^ { 2 } - 5 x + 8 , g ( x ) = 3 x - 8$ Find $f ( - 2 ) + g ( - 2 )$ .

(Multiple Choice)

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Question 133

Find the indicated function value. - $f ( x ) = 3 x - 1 , g ( x ) = 2 x ^ { 2 } - 1$ Find $( f + g ) ( 3 )$ .

(Multiple Choice)

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Question 134

Use intercepts and a checkpoint to graph the linear function. - $y + \frac { 1 } { 3 } x = 2$ $Use intercepts and a checkpoint to graph the linear function. - y + \frac { 1 } { 3 } x = 2$

(Multiple Choice)

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Question 135

Decide whether the relation is a function. -{(-3, 5), (1, 5), (5, 5), (8, -6), (10, -2)}

(Multiple Choice)

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Question 136

Graph the equation in the rectangular coordinate system. - $3 x - 5 = - 11$

(Multiple Choice)

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Question 137

Find the domain of the function. - $f ( x ) = \frac { x } { x ^ { 2 } + 8 }$

(Multiple Choice)

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Question 138

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -Does the graph represent a function?

Decide whether the relation is a function. -{(-3, 6), (-1, -6), (2, 9), (2, 4)}

Rewrite the given equation in slope-intercept form by solving for y. -

Use intercepts and a checkpoint to graph the linear function. - $x - 3 y = - 6$

Find the indicated function value. - $f ( x ) = 9 - 7 x , g ( x ) = - 3 x + 7$ Find $( f + g ) ( x )$ .

Find the slope of the line that goes through the given points. -

Find the indicated function value. - $f ( x ) = 2 x - 5 , g ( x ) = 2 x ^ { 2 } + 2 x - 1$ Find $( f + g ) ( 4 )$ .

Use the graph to find the indicated function value. -y = f(x). Find f(3)

Solve the problem. -A firm making microwave ovens finds that the total cost, C(x), of producing x units is given by C(x) = 55x + 600. The revenue, R(x), from selling x units is determined by the price per unit times the number of units sold, thus R(x) = 65x. Find and interpret (R -C)(42).

Find the domain and range. -{(9,-6), (9,-2), (6,-9), (-11,6), (-10,-8)}

Use intercepts and a checkpoint to graph the linear function. -2x - 4y = 6

Decide whether the relation is a function. -{(-5, -2), (-2, -4), (3, -1), (3, 7)}

Find the requested value. - $f ( x ) = - 5 x ^ { 2 } - 5 x + 8 , g ( x ) = 3 x - 8$ Find $f ( - 2 ) + g ( - 2 )$ .

Find the indicated function value. - $f ( x ) = 3 x - 1 , g ( x ) = 2 x ^ { 2 } - 1$ Find $( f + g ) ( 3 )$ .

Use intercepts and a checkpoint to graph the linear function. - $y + \frac { 1 } { 3 } x = 2$ $Use intercepts and a checkpoint to graph the linear function. - y + \frac { 1 } { 3 } x = 2$

Decide whether the relation is a function. -{(-3, 5), (1, 5), (5, 5), (8, -6), (10, -2)}

Graph the equation in the rectangular coordinate system. - $3 x - 5 = - 11$

Find the domain of the function. - $f ( x ) = \frac { x } { x ^ { 2 } + 8 }$

Algebra, Mathematical Models, and Problem Solving

Systems of Linear Equations

Inequalities and Problem Solving

Polynomials, Polynomial Functions, and Factoring

Rational Expressions, Functions, and Equations

Radicals, Radical Functions, and Rational Exponents

Quadratic Equations and Functions

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Exam 2: Functions and Linear Functions

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -Does the graph represent a function?

Decide whether the relation is a function. -{(-3, 6), (-1, -6), (2, 9), (2, 4)}

Rewrite the given equation in slope-intercept form by solving for y. -

Use intercepts and a checkpoint to graph the linear function. - x−3y=−6x - 3 y = - 6x−3y=−6

Find the indicated function value. - f(x)=9−7x,g(x)=−3x+7f ( x ) = 9 - 7 x , g ( x ) = - 3 x + 7f(x)=9−7x,g(x)=−3x+7 Find (f+g)(x)( f + g ) ( x )(f+g)(x) .

Find the slope of the line that goes through the given points. -

Find the indicated function value. - f(x)=2x−5,g(x)=2x2+2x−1f ( x ) = 2 x - 5 , g ( x ) = 2 x ^ { 2 } + 2 x - 1f(x)=2x−5,g(x)=2x2+2x−1 Find (f+g)(4)( f + g ) ( 4 )(f+g)(4) .

Use the graph to find the indicated function value. -y = f(x). Find f(3)

Solve the problem. -A firm making microwave ovens finds that the total cost, C(x), of producing x units is given by C(x) = 55x + 600. The revenue, R(x), from selling x units is determined by the price per unit times the number of units sold, thus R(x) = 65x. Find and interpret (R -C)(42).

Find the domain and range. -{(9,-6), (9,-2), (6,-9), (-11,6), (-10,-8)}

Use intercepts and a checkpoint to graph the linear function. -2x - 4y = 6

Decide whether the relation is a function. -{(-5, -2), (-2, -4), (3, -1), (3, 7)}

Find the requested value. - f(x)=−5x2−5x+8,g(x)=3x−8f ( x ) = - 5 x ^ { 2 } - 5 x + 8 , g ( x ) = 3 x - 8f(x)=−5x2−5x+8,g(x)=3x−8 Find f(−2)+g(−2)f ( - 2 ) + g ( - 2 )f(−2)+g(−2) .

Find the indicated function value. - f(x)=3x−1,g(x)=2x2−1f ( x ) = 3 x - 1 , g ( x ) = 2 x ^ { 2 } - 1f(x)=3x−1,g(x)=2x2−1 Find (f+g)(3)( f + g ) ( 3 )(f+g)(3) .

Use intercepts and a checkpoint to graph the linear function. - y+13x=2y + \frac { 1 } { 3 } x = 2y+31​x=2

Decide whether the relation is a function. -{(-3, 5), (1, 5), (5, 5), (8, -6), (10, -2)}

Graph the equation in the rectangular coordinate system. - 3x−5=−113 x - 5 = - 113x−5=−11

Find the domain of the function. - f(x)=xx2+8f ( x ) = \frac { x } { x ^ { 2 } + 8 }f(x)=x2+8x​

Algebra, Mathematical Models, and Problem Solving

Systems of Linear Equations

Inequalities and Problem Solving

Polynomials, Polynomial Functions, and Factoring

Rational Expressions, Functions, and Equations

Radicals, Radical Functions, and Rational Exponents

Quadratic Equations and Functions

Filters

Use intercepts and a checkpoint to graph the linear function. - $x - 3 y = - 6$

Find the indicated function value. - $f ( x ) = 9 - 7 x , g ( x ) = - 3 x + 7$ Find $( f + g ) ( x )$ .

Find the indicated function value. - $f ( x ) = 2 x - 5 , g ( x ) = 2 x ^ { 2 } + 2 x - 1$ Find $( f + g ) ( 4 )$ .

Find the requested value. - $f ( x ) = - 5 x ^ { 2 } - 5 x + 8 , g ( x ) = 3 x - 8$ Find $f ( - 2 ) + g ( - 2 )$ .

Find the indicated function value. - $f ( x ) = 3 x - 1 , g ( x ) = 2 x ^ { 2 } - 1$ Find $( f + g ) ( 3 )$ .

Use intercepts and a checkpoint to graph the linear function. - $y + \frac { 1 } { 3 } x = 2$ $Use intercepts and a checkpoint to graph the linear function. - y + \frac { 1 } { 3 } x = 2$

Graph the equation in the rectangular coordinate system. - $3 x - 5 = - 11$

Find the domain of the function. - $f ( x ) = \frac { x } { x ^ { 2 } + 8 }$