Exam 3: Graphs and Functions

Graph the equation by determining the missing values needed to plot the ordered pairs. - $y - x = 2 ; ( 2 , \quad ) , ( , 8 ) , ( 4 , \quad )$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - y - x = 2 ; ( 2 , \quad ) , ( , 8 ) , ( 4 , \quad )$

(Multiple Choice)

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Question 81

Find the average rate of change illustrated in the graph. - Time (in seconds)

(Multiple Choice)

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Question 82

Decide whether the relation defines a function. - $2 x + 4 y > 2$

(Multiple Choice)

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Question 83

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $g ( x ) = \frac { 1 } { 3 } | x + 4 | + 5$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - g ( x ) = \frac { 1 } { 3 } | x + 4 | + 5$

(Multiple Choice)

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Question 84

Use the graphs to find the value of $( f + g ) ( 3 )$ .

(Multiple Choice)

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Question 85

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - $y = - 3 x ^ { 5 } + 8 x ^ { 3 }$

(Multiple Choice)

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Question 86

Write an equation for the line described. Give your answer in slope-intercept form. - $m = \frac { 5 } { 3 } , b = - 3$

(Multiple Choice)

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Question 87

Suppose the point (2, 4) is on the graph of y $y = f ( x )$ . Find a point on the graph of the given function. -The reflection of the graph of $y = f ( x )$ across the $x$ -axis

(Multiple Choice)

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Question 88

Use a graphing calculator to solve the linear equation. - $4 ( 2 z - 2 ) = 7 ( z + 2 )$

(Multiple Choice)

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Question 89

Find the average rate of change illustrated in the graph. -Along with incomes, people's charitable contributions have steadily increased over the past few years. The table below shows the average deduction for charitable contributions reported on individual income tax returns over 6 years. Find The average rate of change per year between year 3 and year 5. Year Charitable Contributions 1 \ 1970 2 \ 2430 3 \ 2460 4 \ 2810 5 \ 3050 6 \ 3180

(Multiple Choice)

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Question 90

Graph the line described. - $\text { through } ( 5 , - 3 ) ; m = 0$ $Graph the line described. - \text { through } ( 5 , - 3 ) ; m = 0$

(Multiple Choice)

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Question 91

Determine whether the three points are the vertices of a right triangle. - $( - 6,7 ) , ( 5 , - 4 ) , ( 7 , - 2 )$

(True/False)

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Question 92

Find the slope of the line satisfying the given conditions. -through (9, -4) and (-6, -7)

(Multiple Choice)

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Question 93

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $h ( x ) = \sqrt { - x + 2 } - 1$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - h ( x ) = \sqrt { - x + 2 } - 1$

(Multiple Choice)

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Question 94

Decide whether the relation defines a function. -

(Multiple Choice)

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Question 95

Suppose a life insurance policy costs $20 for the first unit of coverage and then $5 for each additional unit of coverage. Let C(x) be the cost for insurance of x units of coverage. What will 10 units of coverage cost?

(Multiple Choice)

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Question 96

The table shows enrollment in 2-year technical schools for 1980, 1990 and 2000. Assuming a linear relationship, estimate the enrollment for 1995. Year Enrollment (in millions) 1980 2.3 1990 2.9 2000 3.5

(Multiple Choice)

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Question 97

Write an equation for the line described. Give your answer in slope-intercept form. -vertical, through (3, 4)

(Multiple Choice)

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Question 98

Match the description with the correct symbolic expression. -a linear function whose graph has $y$ -intercept $- 4$

(Multiple Choice)

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Question 99

A new chocolate company is estimating how many candy bars per week college students will consume of their line of products. The graph shows the probable number of candy bars students (age 18-22) will consume from year 0 to year 10. B(x) gives the number of candy bars for boys, G(x) gives the number of candy bars for girls, and T(x) gives the total number for both groups. Use the graph to answer the question. -A furniture store buys 45 footstools from a distributor at a cost of $230 each plus an overhead charge of $45 per order. The retail markup is 25% on the total price paid. Find the profit on the sale of one footstool.

(Multiple Choice)

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Question 100

Showing 81 - 100 of 531

Graph the equation by determining the missing values needed to plot the ordered pairs. - $y - x = 2 ; ( 2 , \quad ) , ( , 8 ) , ( 4 , \quad )$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - y - x = 2 ; ( 2 , \quad ) , ( , 8 ) , ( 4 , \quad )$

Find the average rate of change illustrated in the graph. - Time (in seconds)

Decide whether the relation defines a function. - $2 x + 4 y > 2$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $g ( x ) = \frac { 1 } { 3 } | x + 4 | + 5$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - g ( x ) = \frac { 1 } { 3 } | x + 4 | + 5$

Use the graphs to find the value of $( f + g ) ( 3 )$ .

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - $y = - 3 x ^ { 5 } + 8 x ^ { 3 }$

Write an equation for the line described. Give your answer in slope-intercept form. - $m = \frac { 5 } { 3 } , b = - 3$

Suppose the point (2, 4) is on the graph of y $y = f ( x )$ . Find a point on the graph of the given function. -The reflection of the graph of $y = f ( x )$ across the $x$ -axis

Use a graphing calculator to solve the linear equation. - $4 ( 2 z - 2 ) = 7 ( z + 2 )$

Graph the line described. - $\text { through } ( 5 , - 3 ) ; m = 0$ $Graph the line described. - \text { through } ( 5 , - 3 ) ; m = 0$

Determine whether the three points are the vertices of a right triangle. - $( - 6,7 ) , ( 5 , - 4 ) , ( 7 , - 2 )$

Find the slope of the line satisfying the given conditions. -through (9, -4) and (-6, -7)

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $h ( x ) = \sqrt { - x + 2 } - 1$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - h ( x ) = \sqrt { - x + 2 } - 1$

Decide whether the relation defines a function. -

Suppose a life insurance policy costs $20 for the first unit of coverage and then $5 for each additional unit of coverage. Let C(x) be the cost for insurance of x units of coverage. What will 10 units of coverage cost?

The table shows enrollment in 2-year technical schools for 1980, 1990 and 2000. Assuming a linear relationship, estimate the enrollment for 1995. Year Enrollment (in millions) 1980 2.3 1990 2.9 2000 3.5

Write an equation for the line described. Give your answer in slope-intercept form. -vertical, through (3, 4)

Match the description with the correct symbolic expression. -a linear function whose graph has $y$ -intercept $- 4$

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

Graph the equation by determining the missing values needed to plot the ordered pairs. - y−x=2;(2,),(,8),(4,)y - x = 2 ; ( 2 , \quad ) , ( , 8 ) , ( 4 , \quad )y−x=2;(2,),(,8),(4,)

Find the average rate of change illustrated in the graph. - Time (in seconds)

Decide whether the relation defines a function. - 2x+4y>22 x + 4 y > 22x+4y>2

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - g(x)=13∣x+4∣+5g ( x ) = \frac { 1 } { 3 } | x + 4 | + 5g(x)=31​∣x+4∣+5

Use the graphs to find the value of (f+g)(3)( f + g ) ( 3 )(f+g)(3) .

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - y=−3x5+8x3y = - 3 x ^ { 5 } + 8 x ^ { 3 }y=−3x5+8x3

Write an equation for the line described. Give your answer in slope-intercept form. - m=53,b=−3m = \frac { 5 } { 3 } , b = - 3m=35​,b=−3

Suppose the point (2, 4) is on the graph of y y=f(x)y = f ( x )y=f(x) . Find a point on the graph of the given function. -The reflection of the graph of y=f(x)y = f ( x )y=f(x) across the xxx -axis

Use a graphing calculator to solve the linear equation. - 4(2z−2)=7(z+2)4 ( 2 z - 2 ) = 7 ( z + 2 )4(2z−2)=7(z+2)

Graph the line described. - through (5,−3);m=0\text { through } ( 5 , - 3 ) ; m = 0 through (5,−3);m=0

Determine whether the three points are the vertices of a right triangle. - (−6,7),(5,−4),(7,−2)( - 6,7 ) , ( 5 , - 4 ) , ( 7 , - 2 )(−6,7),(5,−4),(7,−2)

Find the slope of the line satisfying the given conditions. -through (9, -4) and (-6, -7)

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - h(x)=−x+2−1h ( x ) = \sqrt { - x + 2 } - 1h(x)=−x+2​−1

Decide whether the relation defines a function. -

Suppose a life insurance policy costs $20 for the first unit of coverage and then $5 for each additional unit of coverage. Let C(x) be the cost for insurance of x units of coverage. What will 10 units of coverage cost?

The table shows enrollment in 2-year technical schools for 1980, 1990 and 2000. Assuming a linear relationship, estimate the enrollment for 1995. Year Enrollment (in millions) 1980 2.3 1990 2.9 2000 3.5

Write an equation for the line described. Give your answer in slope-intercept form. -vertical, through (3, 4)

Match the description with the correct symbolic expression. -a linear function whose graph has yyy -intercept −4- 4−4

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

Graph the equation by determining the missing values needed to plot the ordered pairs. - $y - x = 2 ; ( 2 , \quad ) , ( , 8 ) , ( 4 , \quad )$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - y - x = 2 ; ( 2 , \quad ) , ( , 8 ) , ( 4 , \quad )$

Decide whether the relation defines a function. - $2 x + 4 y > 2$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $g ( x ) = \frac { 1 } { 3 } | x + 4 | + 5$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - g ( x ) = \frac { 1 } { 3 } | x + 4 | + 5$

Use the graphs to find the value of $( f + g ) ( 3 )$ .

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these. - $y = - 3 x ^ { 5 } + 8 x ^ { 3 }$

Write an equation for the line described. Give your answer in slope-intercept form. - $m = \frac { 5 } { 3 } , b = - 3$

Suppose the point (2, 4) is on the graph of y $y = f ( x )$ . Find a point on the graph of the given function. -The reflection of the graph of $y = f ( x )$ across the $x$ -axis

Use a graphing calculator to solve the linear equation. - $4 ( 2 z - 2 ) = 7 ( z + 2 )$

Graph the line described. - $\text { through } ( 5 , - 3 ) ; m = 0$ $Graph the line described. - \text { through } ( 5 , - 3 ) ; m = 0$

Determine whether the three points are the vertices of a right triangle. - $( - 6,7 ) , ( 5 , - 4 ) , ( 7 , - 2 )$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $h ( x ) = \sqrt { - x + 2 } - 1$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - h ( x ) = \sqrt { - x + 2 } - 1$

Match the description with the correct symbolic expression. -a linear function whose graph has $y$ -intercept $- 4$