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Question 1 Use the given conditions...

Question 1

Use the given conditions to write an equation for each line in point-slope form.

Passing through (2, -3) and perpendicular to the line whose equation is y = 1/5 x + 6.

A. y + 8 = 5(x - 6)

B. y - 3 = -5(x + 20)

C. y + 3 = -5(x - 2)

D. y - 3 = -5(x + 5)

Question 2

Determine whether the function is odd, even, neither, or can’t be determined:

h(x) = x2 – x4

A. Even

B. Odd

C. Neither

D. Can’t be determined

Question 4

Determine whether the following equation defines y as a function of x:

x2 + y2 = 16

A. Y is a function of x.

B. X is not a function of y.

C. X is a function of x.

D. Y is not a function of x.

Question 5

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.

The graph of f is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same y-intercept as this line.

A. f(x) = 2/3x – 4

B. f(x) = -2/5x – 6

C. f(x) = -2/3x – 2

D. f(x) = -2/7x + 8

Question 6

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.

The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6.

A. f(x) = 6

B. f(x) = 8

C. f(x) = 3

D. f(x) = 5

Question 7

Determine whether the function is odd, even, neither, or can’t be determined:

f(x) = x√1 - x2

B. Odd

C. Neither

D. Can’t be determined

Question 9

Determine whether the function is odd, even, neither, or can’t be determined:

f(x) = x3 + x

A. Even

B. Odd

C. Neither

D. Can’t be determined

Question 12

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.

The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2 and a y–intercept of -4.

A. f(x) = -1/2x + 1

B. f(x) = -1/5x + 3

C. f(x) = 1/5x - 3

Question 14

Find the average rate of change of the function from x1 to x2.

f(x) = 3x from x1 = 0 to x2 = 5

A. -4

B. 8

C. 2

D. 3

Question 16

Find the average rate of change of the function from x1 to x2.

f(x) = x2 + 2x from x1 = 3 to x2 = 5

A. 10

B. 15

C. 4

D. 25

Question

Find the average rate of change of the function from x1 to x2.

f(x) = √x from x1 = 4 to x2 = 9

A. 1/5

B. 1

C. 2

D. 1/4

Question 18

Use the given conditions to write an equation for each line in general form.

Passing through (-2, 2) and parallel to the line whose equation is 2x - 3y - 7 = 0.

A. 3x - 3y + 11 = 0

B. 2x - 3y + 10 = 0

C. 6x - 4y + 12 = 0

D. 2x - 5y + 15 = 0

Question 20

Determine whether the following equation defines y as a function of x:

x2 + y = 16

A. Y is not a function of x.

B. X is a function of y.

C. X is not a function of y.

D. Y is a function of x.

Use the given conditions to write an equation for each line in point-slope form.

Passing through (2, -3) and perpendicular to the line whose equation is y = 1/5 x + 6.

A. y + 8 = 5(x - 6)

B. y - 3 = -5(x + 20)

C. y + 3 = -5(x - 2)

D. y - 3 = -5(x + 5)

Question 2

Determine whether the function is odd, even, neither, or can’t be determined:

h(x) = x2 – x4

A. Even

B. Odd

C. Neither

D. Can’t be determined

Question 4

Determine whether the following equation defines y as a function of x:

x2 + y2 = 16

A. Y is a function of x.

B. X is not a function of y.

C. X is a function of x.

D. Y is not a function of x.

Question 5

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.

The graph of f is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same y-intercept as this line.

A. f(x) = 2/3x – 4

B. f(x) = -2/5x – 6

C. f(x) = -2/3x – 2

D. f(x) = -2/7x + 8

Question 6

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.

The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6.

A. f(x) = 6

B. f(x) = 8

C. f(x) = 3

D. f(x) = 5

Question 7

Determine whether the function is odd, even, neither, or can’t be determined:

f(x) = x√1 - x2

B. Odd

C. Neither

D. Can’t be determined

Question 9

Determine whether the function is odd, even, neither, or can’t be determined:

f(x) = x3 + x

A. Even

B. Odd

C. Neither

D. Can’t be determined

Question 12

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.

The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2 and a y–intercept of -4.

A. f(x) = -1/2x + 1

B. f(x) = -1/5x + 3

C. f(x) = 1/5x - 3

Question 14

Find the average rate of change of the function from x1 to x2.

f(x) = 3x from x1 = 0 to x2 = 5

A. -4

B. 8

C. 2

D. 3

Question 16

Find the average rate of change of the function from x1 to x2.

f(x) = x2 + 2x from x1 = 3 to x2 = 5

A. 10

B. 15

C. 4

D. 25

Question

Find the average rate of change of the function from x1 to x2.

f(x) = √x from x1 = 4 to x2 = 9

A. 1/5

B. 1

C. 2

D. 1/4

Question 18

Use the given conditions to write an equation for each line in general form.

Passing through (-2, 2) and parallel to the line whose equation is 2x - 3y - 7 = 0.

A. 3x - 3y + 11 = 0

B. 2x - 3y + 10 = 0

C. 6x - 4y + 12 = 0

D. 2x - 5y + 15 = 0

Question 20

Determine whether the following equation defines y as a function of x:

x2 + y = 16

A. Y is not a function of x.

B. X is a function of y.

C. X is not a function of y.

D. Y is a function of x.

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