Exam 2

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Exam 2

Write an equation in general form of the line passing through (3, -5) whose slope is the negative reciprocal (the reciprocal with the opposite sign) of –1/4.

A. 5x + y - 22 = 0

B. 4x - y - 17 = 0

C. 4x + y + 20 = 0

D. 7x - y + 34 = 0

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

Give the slope and y-intercept of each line whose equation is given. y = -3/5x + 7

A. m = 3/4; b = -2

B. m = 6; b = 7

C. m = -3/5; b = 7

D. m = 1; b = 8

Evaluate each function at the given values of the independent variable and simplify. g(x) = x2 + 2x + 3 1. g(-1) 2. g(x + 5) 3. g(-x)

1. 2 2. x2 + 12x + 38 3. x2 - 2x + 3

1. 4 2. x2 + 6x + 38 3. x2 - 3x +5

1. 7 2. x2 + 7x + 56 3. x2+ 4x + 7

1. 5 2. x2 -12x + 38 3. x2+ 5x + 7

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (4, 7) and (8, 10)

A. 3/4, rises

B. 2/4, falls

C. 1/4, horizontal

D. 3/5, vertical

Evaluate each function at the given values of the independent variable and simplify. f(x) = 4x + 5 1. f(6) 2. f(x + 1) 3. f(-x)

A. 1. 27 2. 5x + 9 3. -4x + 8

B. 1. 35 2. 4x + 9 3. -7x + 5

C. 1. 29 2. 4x + 9 3. -4x + 5

D. 1. 29 2. 3x + 8 3. 4x + 6

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.

Determine whether the function is odd, even, neither, or can’t be determined: f(x) = x√1 - x2

A. Even

B. Odd

C. Neither

D. Can’t be determined

Determine whether the function is odd, even, neither, or can’t be determined: g(x) = x2 + x

A. Even

B. Odd

C. Neither

D. Can’t be determine

Use the given conditions to write an equation for each line in general form. Passing through (4, -7) and perpendicular to the line whose equation is x - 2y - 3 = 0.

A. 6x - y - 1 = 0

B. 4x + y + 1 = 0

C. 7x - y + 2 = 0

D. 2x + y - 1 = 0

Use the given conditions to write an equation for each line in point-slope form. Passing through (-8, -10) and parallel to the line whose equation is y = -4x + 3.

A. y + 10 = -4(x + 8)

B. y + 11 = 4(x2 + 8)

C. y - 12 = -5(x + 20)

D. y + 14 = -4(x - 5)

Give the slope and y-intercept of each line whose equation is given. y = 2x + 1

A. m = 3; b = 4

B. m = 5; b = 1

C. m = 6; b = 7

D. m = 2; b = 1

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

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

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)

A. 1; rises

B. 4/9;horizontal

C. Undefined; vertical

D. Undefined; falls

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

Determine whether the following equation defines y as a function of x: x + y = 16

A. Y is a function of x.

B. Y is not a function of x.

C. X is a function of y.

D. X is not a function of y.

Give the slope and y-intercept of each line whose equation is given. f(x) = 3/4 x - 2

A. m = 3/4; b = -2

B. m = 6; b = 7

C. m = 2; b = 1

D. m = 8; b = 7

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