Use the functions given by $f ( x ) = \frac { 1 } { 8 } x - 1$ and g(x) = x3 to find (f-1 º g-1)(1).

A) 14 B) 12 C) 16 D) 20 E) 18 A) 14 B) 12 C) 16 D) 20 E) 18

Find the average rate of change of the function from x1 = 1 to x2 = 5. $f ( x ) = x ^ { 2 } + 18 x - 4$

A) The average rate of change from x1 = 1 to x2 = 5 is 24. B) The average rate of change from x1 = 1 to x2 = 5 is -4. C) The average rate of change from x1 = 1 to x2 = 5 is -24. D) The average rate of change from x1 = 1 to x2 = 5 is -18. E) The average rate of change from x1 = 1 to x2 = 5 is 4. A) The average rate of change from x1 = 1 to x2 = 5 is 24. B) The average rate of change from x1 = 1 to x2 = 5 is -4. C) The average rate of change from x1 = 1 to x2 = 5 is -24. D) The average rate of change from x1 = 1 to x2 = 5 is -18. E) The average rate of change from x1 = 1 to x2 = 5 is 4.

Exam 1: Functions and Their Graphs

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. The line has a slope of m = 134.

(Multiple Choice)

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Question 101

Determine the quadrant(s) in which (x, y) is located so that the conditions(s) is (are) satisfied. - x > 6 and y < -2

(Multiple Choice)

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Question 102

Find all real values of x such that f(x) = 0. $f ( x ) = \frac { 81 - x ^ { 2 } } { 3 }$

(Multiple Choice)

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Question 103

A microchip manufacturer pays its assembly line workers $12.25 per hour.In addition, workers receive a piecework rate of $0.3 per unit produced.Select a linear equation for the hourly wage W in terms of the number of units x produced per hour.

(Multiple Choice)

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Question 104

Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.

(Multiple Choice)

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Question 105

Use the given graph of f to select the graph for the following function. Y = f(2x)

(Multiple Choice)

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Question 106

The cost of sending an overnight package from Los Angeles to Miami is $25.00 for a package weighing up to but not including 1 pound and $3.50 for each additional pound or portion of a pound.Use the greatest integer function to create a model for the cost C of overnight delivery of a package weighing x pounds, x > 0.

(Multiple Choice)

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Question 107

Use the functions given by $f ( x ) = \frac { 1 } { 8 } x - 1$ and g(x) = x³ to find (f^-1 _º g^-1)(1).

(Multiple Choice)

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Question 108

For following function, select (on the same set of coordinate axes) a graph for $c = - 1,3 \text { and } 4$ . $f ( x ) = | x | + c$

(Multiple Choice)

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Question 109

Find the zeroes of the functions algebraically. $f ( x ) = \frac { x ^ { 2 } - 14 x + 48 } { 7 x }$

(Multiple Choice)

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Question 110

Find the average rate of change of the function from x₁ = 1 to x₂ = 5. $f ( x ) = x ^ { 2 } + 18 x - 4$

(Multiple Choice)

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Question 111

Select the graph of the given function and determine the interval(s) for which f(x) $\ge$ 0. $f ( x ) = \sqrt { x - 2 }$

(Multiple Choice)

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Question 112

Evaluate the function f(x) = 2[[x]] + 7 for x = -7.

(Multiple Choice)

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Question 113

Find the distance between the points.(Round the answer to two decimal places) (-6)5, 4.9), (-9.5, 7.5)

(Multiple Choice)

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Question 114

Restrict the domain of f(x) = x² + 5 to x ≥ 0.Use a graphing utility to graph the function.

(Multiple Choice)

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Question 115

Hooke's law states that the magnitude of force, F, required to stretch a spring x units beyond its natural length is directly proportional to x.If a force of 3 pounds stretches a spring from its natural length of 10 inches to a length of 10.7 inches, what force will stretch the spring to a length of 11.5 inches? Round your answer to the nearest hundredth.

(Multiple Choice)

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Question 116

Select the graph of the function, and use the Horizontal Line Test to determine whether the function is one-to-one and so has an inverse function. $g ( x ) = - 2 x \sqrt { 6 - x ^ { 2 } }$

(Multiple Choice)

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Question 117

Graphically estimate the x- and y-intercepts of the graph. $y = 3 - 3 x ^ { 3 }$ $Graphically estimate the x- and y-intercepts of the graph. y = 3 - 3 x ^ { 3 }$

(Multiple Choice)

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Question 118

Determine which point does not lie on the graph of the equation $y = - 8 - | x - 5 |$ .

(Multiple Choice)

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Question 119

Which of the following equation represents y as a function of x ?

(Multiple Choice)

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Question 120

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. The line has a slope of m = 134.

Determine the quadrant(s) in which (x, y) is located so that the conditions(s) is (are) satisfied. - x > 6 and y < -2

Find all real values of x such that f(x) = 0. $f ( x ) = \frac { 81 - x ^ { 2 } } { 3 }$

A microchip manufacturer pays its assembly line workers $12.25 per hour.In addition, workers receive a piecework rate of $0.3 per unit produced.Select a linear equation for the hourly wage W in terms of the number of units x produced per hour.

Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.

Use the given graph of f to select the graph for the following function. Y = f(2x)

Use the functions given by $f ( x ) = \frac { 1 } { 8 } x - 1$ and g(x) = x³ to find (f^-1 _º g^-1)(1).

For following function, select (on the same set of coordinate axes) a graph for $c = - 1,3 \text { and } 4$ . $f ( x ) = | x | + c$

Find the zeroes of the functions algebraically. $f ( x ) = \frac { x ^ { 2 } - 14 x + 48 } { 7 x }$

Find the average rate of change of the function from x₁ = 1 to x₂ = 5. $f ( x ) = x ^ { 2 } + 18 x - 4$

Select the graph of the given function and determine the interval(s) for which f(x) $\ge$ 0. $f ( x ) = \sqrt { x - 2 }$

Evaluate the function f(x) = 2[[x]] + 7 for x = -7.

Find the distance between the points.(Round the answer to two decimal places) (-6)5, 4.9), (-9.5, 7.5)

Restrict the domain of f(x) = x² + 5 to x ≥ 0.Use a graphing utility to graph the function.

Select the graph of the function, and use the Horizontal Line Test to determine whether the function is one-to-one and so has an inverse function. $g ( x ) = - 2 x \sqrt { 6 - x ^ { 2 } }$

Graphically estimate the x- and y-intercepts of the graph. $y = 3 - 3 x ^ { 3 }$ $Graphically estimate the x- and y-intercepts of the graph. y = 3 - 3 x ^ { 3 }$

Determine which point does not lie on the graph of the equation $y = - 8 - | x - 5 |$ .

Which of the following equation represents y as a function of x ?

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Additional Topics In Trigonometery

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Exam 1: Functions and Their Graphs

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. ​ The line has a slope of m = 134. ​

Determine the quadrant(s) in which (x, y) is located so that the conditions(s) is (are) satisfied. ​ - x > 6 and y < -2 ​

Find all real values of x such that f(x) = 0. f(x)=81−x23f ( x ) = \frac { 81 - x ^ { 2 } } { 3 }f(x)=381−x2​

A microchip manufacturer pays its assembly line workers $12.25 per hour.In addition, workers receive a piecework rate of $0.3 per unit produced.Select a linear equation for the hourly wage W in terms of the number of units x produced per hour.

Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.

Use the given graph of f to select the graph for the following function. ​ Y = f(2x) ​ ​

Use the functions given by f(x)=18x−1f ( x ) = \frac { 1 } { 8 } x - 1f(x)=81​x−1 and g(x) = x3 to find (f-1 º g-1)(1).

For following function, select (on the same set of coordinate axes) a graph for c=−1,3 and 4c = - 1,3 \text { and } 4c=−1,3 and 4 . f(x)=∣x∣+cf ( x ) = | x | + cf(x)=∣x∣+c

Find the zeroes of the functions algebraically. f(x)=x2−14x+487xf ( x ) = \frac { x ^ { 2 } - 14 x + 48 } { 7 x }f(x)=7xx2−14x+48​

Find the average rate of change of the function from x1 = 1 to x2 = 5. f(x)=x2+18x−4f ( x ) = x ^ { 2 } + 18 x - 4f(x)=x2+18x−4

Select the graph of the given function and determine the interval(s) for which f(x) ≥\ge≥ 0. f(x)=x−2f ( x ) = \sqrt { x - 2 }f(x)=x−2​

Evaluate the function f(x) = 2[[x]] + 7 for x = -7. ​

Find the distance between the points.(Round the answer to two decimal places) ​ (-6)5, 4.9), (-9.5, 7.5) ​

Restrict the domain of f(x) = x2 + 5 to x ≥ 0.Use a graphing utility to graph the function. ​

Select the graph of the function, and use the Horizontal Line Test to determine whether the function is one-to-one and so has an inverse function. g(x)=−2x6−x2g ( x ) = - 2 x \sqrt { 6 - x ^ { 2 } }g(x)=−2x6−x2​

Graphically estimate the x- and y-intercepts of the graph. y=3−3x3y = 3 - 3 x ^ { 3 }y=3−3x3

Determine which point does not lie on the graph of the equation y=−8−∣x−5∣y = - 8 - | x - 5 |y=−8−∣x−5∣ .

Which of the following equation represents y as a function of x ?

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Additional Topics In Trigonometery

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. The line has a slope of m = 134.

Determine the quadrant(s) in which (x, y) is located so that the conditions(s) is (are) satisfied. - x > 6 and y < -2

Find all real values of x such that f(x) = 0. $f ( x ) = \frac { 81 - x ^ { 2 } } { 3 }$

Use the given graph of f to select the graph for the following function. Y = f(2x)

Use the functions given by $f ( x ) = \frac { 1 } { 8 } x - 1$ and g(x) = x³ to find (f^-1 _º g^-1)(1).

For following function, select (on the same set of coordinate axes) a graph for $c = - 1,3 \text { and } 4$ . $f ( x ) = | x | + c$

Find the zeroes of the functions algebraically. $f ( x ) = \frac { x ^ { 2 } - 14 x + 48 } { 7 x }$

Find the average rate of change of the function from x₁ = 1 to x₂ = 5. $f ( x ) = x ^ { 2 } + 18 x - 4$

Select the graph of the given function and determine the interval(s) for which f(x) $\ge$ 0. $f ( x ) = \sqrt { x - 2 }$

Evaluate the function f(x) = 2[[x]] + 7 for x = -7.

Find the distance between the points.(Round the answer to two decimal places) (-6)5, 4.9), (-9.5, 7.5)

Restrict the domain of f(x) = x² + 5 to x ≥ 0.Use a graphing utility to graph the function.

Select the graph of the function, and use the Horizontal Line Test to determine whether the function is one-to-one and so has an inverse function. $g ( x ) = - 2 x \sqrt { 6 - x ^ { 2 } }$

Graphically estimate the x- and y-intercepts of the graph. $y = 3 - 3 x ^ { 3 }$ $Graphically estimate the x- and y-intercepts of the graph. y = 3 - 3 x ^ { 3 }$

Determine which point does not lie on the graph of the equation $y = - 8 - | x - 5 |$ .