Exam 1: Functions, Graphs, and Models; Linear Functions

Graph the scatter plot of the data. - x -3 3 8 9 7 6 2 -1 1 y 3 9 11 11 9 9 6 4 3 $Graph the scatter plot of the data. - \begin{array}{c|ccccccccc} x & -3 & 3 & 8 & 9 & 7 & 6 & 2 & -1 & 1 \\ \hline y & 3 & 9 & 11 & 11 & 9 & 9 & 6 & 4 & 3 \end{array}$

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Question 121

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $4 x - 6 y = - 6$

(Multiple Choice)

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Question 122

Decide whether the slope is positive, negative, zero, or undefined. -

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Question 123

The grade point average, G , of students at a community college is shown by age, x , in the table below. Use the lir connecting the points (18,2.5) and (26,3.2) to find a linear model for this data. Age (years) 18 23 20 26 29 16 25 20 32 Grade Point Average 2.5 3.0 2.7 3.2 3.9 2.0 3.5 3.1 3.6

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Question 124

The polynomial $0.0034 x ^ { 4 } + 0.0047 x ^ { 3 } + 0.0053 x ^ { 2 } + 0.17 x + 1.73$ gives the predicted sales volume of a company, in millions of items, where x is the number of years from now. Determine the predicted sales 18 years from now. Round your answer to the nearest hundredth million.

(Multiple Choice)

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Question 125

Decide if the function is linear. - $y = \frac { 4 } { x } + 3$

(Multiple Choice)

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Question 126

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - $x=-5$

(Multiple Choice)

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Question 127

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $y = 3.3 x - 2$

(Multiple Choice)

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Question 128

A customer's savings account number n given the number of years y the account has been active.

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Question 129

Write the slope-intercept form of the equation for the line passing through the given pair of points. - $( - 7,1 )$ and $( 6,3 )$

(Multiple Choice)

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Question 130

Suppose that the speed of a car, measured in miles per hour (mph), is monitored for some short period of time after the driver applies the brakes. The following table and graph relate the speed of the car to the amount of Time, measured in seconds (sec), elapsed from the moment that the brakes are applied. ELAPSED TIME (sec) 2 4 6 8 10 SPEED of CAR (mph) 47 32 22 12 7 $Suppose that the speed of a car, measured in miles per hour (mph), is monitored for some short period of time after the driver applies the brakes. The following table and graph relate the speed of the car to the amount of Time, measured in seconds (sec), elapsed from the moment that the brakes are applied. \begin{array} { l r r r r r } \text { ELAPSED TIME (sec) } &2 & 4 & 6& 8 & 10\\ \text { SPEED of CAR (mph) } & 47 & 32 & 22 & 12 & 7 \end{array} What general trend do the data reflect? In which of the time intervals does the speed change the most?$ What general trend do the data reflect? In which of the time intervals does the speed change the most?

(Multiple Choice)

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Question 131

Graph the function with a graphing utility. - $y=5 x^{2}$ $Graph the function with a graphing utility. - y=5 x^{2}$

(Multiple Choice)

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Question 132

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function. -The balance b in a checking account on a given day x.

(Multiple Choice)

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Question 133

Write the equation of the line with the given conditions. -passing through $( 5,2 )$ and parallel to the line with equation $2 x + y = 4$

(Multiple Choice)

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Question 134

Find the domain of the function. - y=10+ $\frac { 10 } { 4 x + 12 }$

(Multiple Choice)

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Question 135

Decide whether or not the arrow diagram defines a function. -

(Multiple Choice)

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Question 136

Find the rate of change. Use appropriate units.

(Multiple Choice)

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Question 137

Suppose the monthly total revenue for manufacturing baseball bats is R(x) = 26.00x, where x is the number of bats sold each month. Find and interpret the marginal revenue for the product.

(Multiple Choice)

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Question 138

Give a definition or an example of the word or phrase: Perpendicular lines

(Essay)

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Question 139

Write the slope-intercept form of the equation for the line passing through the given pair of points. - $( - 4,0 )$ and $( 5 , - 2 )$

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Question 140

Showing 121 - 140 of 306

Graph the scatter plot of the data. - x -3 3 8 9 7 6 2 -1 1 y 3 9 11 11 9 9 6 4 3 $Graph the scatter plot of the data. - \begin{array}{c|ccccccccc} x & -3 & 3 & 8 & 9 & 7 & 6 & 2 & -1 & 1 \\ \hline y & 3 & 9 & 11 & 11 & 9 & 9 & 6 & 4 & 3 \end{array}$

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $4 x - 6 y = - 6$

Decide whether the slope is positive, negative, zero, or undefined. -

The grade point average, G , of students at a community college is shown by age, x , in the table below. Use the lir connecting the points (18,2.5) and (26,3.2) to find a linear model for this data. Age (years) 18 23 20 26 29 16 25 20 32 Grade Point Average 2.5 3.0 2.7 3.2 3.9 2.0 3.5 3.1 3.6

The polynomial $0.0034 x ^ { 4 } + 0.0047 x ^ { 3 } + 0.0053 x ^ { 2 } + 0.17 x + 1.73$ gives the predicted sales volume of a company, in millions of items, where x is the number of years from now. Determine the predicted sales 18 years from now. Round your answer to the nearest hundredth million.

Decide if the function is linear. - $y = \frac { 4 } { x } + 3$

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - $x=-5$

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $y = 3.3 x - 2$

A customer's savings account number n given the number of years y the account has been active.

Write the slope-intercept form of the equation for the line passing through the given pair of points. - $( - 7,1 )$ and $( 6,3 )$

Graph the function with a graphing utility. - $y=5 x^{2}$ $Graph the function with a graphing utility. - y=5 x^{2}$

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function. -The balance b in a checking account on a given day x.

Write the equation of the line with the given conditions. -passing through $( 5,2 )$ and parallel to the line with equation $2 x + y = 4$

Find the domain of the function. - y=10+ $\frac { 10 } { 4 x + 12 }$

Decide whether or not the arrow diagram defines a function. -

Find the rate of change. Use appropriate units.

Suppose the monthly total revenue for manufacturing baseball bats is R(x) = 26.00x, where x is the number of bats sold each month. Find and interpret the marginal revenue for the product.

Give a definition or an example of the word or phrase: Perpendicular lines

Write the slope-intercept form of the equation for the line passing through the given pair of points. - $( - 4,0 )$ and $( 5 , - 2 )$

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Exam 1: Functions, Graphs, and Models; Linear Functions

Graph the scatter plot of the data. - x -3 3 8 9 7 6 2 -1 1 y 3 9 11 11 9 9 6 4 3

Find the slope of the line (if it exists) and the y-intercept (if it exists). - 4x−6y=−64 x - 6 y = - 64x−6y=−6

Decide whether the slope is positive, negative, zero, or undefined. -

The grade point average, G , of students at a community college is shown by age, x , in the table below. Use the lir connecting the points (18,2.5) and (26,3.2) to find a linear model for this data. Age (years) 18 23 20 26 29 16 25 20 32 Grade Point Average 2.5 3.0 2.7 3.2 3.9 2.0 3.5 3.1 3.6

Decide if the function is linear. - y=4x+3y = \frac { 4 } { x } + 3y=x4​+3

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - x=−5x=-5x=−5

Find the slope of the line (if it exists) and the y-intercept (if it exists). - y=3.3x−2y = 3.3 x - 2y=3.3x−2

A customer's savings account number n given the number of years y the account has been active.

Write the slope-intercept form of the equation for the line passing through the given pair of points. - (−7,1)( - 7,1 )(−7,1) and (6,3)( 6,3 )(6,3)

Graph the function with a graphing utility. - y=5x2y=5 x^{2}y=5x2

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function. -The balance b in a checking account on a given day x.

Write the equation of the line with the given conditions. -passing through (5,2)( 5,2 )(5,2) and parallel to the line with equation 2x+y=42 x + y = 42x+y=4

Find the domain of the function. - y=10+ 104x+12\frac { 10 } { 4 x + 12 }4x+1210​

Decide whether or not the arrow diagram defines a function. -

Find the rate of change. Use appropriate units.

Suppose the monthly total revenue for manufacturing baseball bats is R(x) = 26.00x, where x is the number of bats sold each month. Find and interpret the marginal revenue for the product.

Give a definition or an example of the word or phrase: Perpendicular lines

Write the slope-intercept form of the equation for the line passing through the given pair of points. - (−4,0)( - 4,0 )(−4,0) and (5,−2)( 5 , - 2 )(5,−2)

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Graph the scatter plot of the data. - x -3 3 8 9 7 6 2 -1 1 y 3 9 11 11 9 9 6 4 3 $Graph the scatter plot of the data. - \begin{array}{c|ccccccccc} x & -3 & 3 & 8 & 9 & 7 & 6 & 2 & -1 & 1 \\ \hline y & 3 & 9 & 11 & 11 & 9 & 9 & 6 & 4 & 3 \end{array}$

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $4 x - 6 y = - 6$

Decide if the function is linear. - $y = \frac { 4 } { x } + 3$

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - $x=-5$

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $y = 3.3 x - 2$

Write the slope-intercept form of the equation for the line passing through the given pair of points. - $( - 7,1 )$ and $( 6,3 )$

Graph the function with a graphing utility. - $y=5 x^{2}$ $Graph the function with a graphing utility. - y=5 x^{2}$

Write the equation of the line with the given conditions. -passing through $( 5,2 )$ and parallel to the line with equation $2 x + y = 4$

Find the domain of the function. - y=10+ $\frac { 10 } { 4 x + 12 }$

Write the slope-intercept form of the equation for the line passing through the given pair of points. - $( - 4,0 )$ and $( 5 , - 2 )$