College Algebra Questions Exercises

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College Algebra Questions Exercises

Question 1 (5 points)

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.

Question 1 options:

Question 2 (5 points)

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

f(x) = x√1 – x2

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Question 3 (5 points)

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

h(x) = x2 – x4

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Question 4 (5 points)

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, -2) and (3, -2)

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Question 5 (5 points)

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

x2 + y = 16

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Question 6 (5 points)

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

f(x) = √x from x1 = 4 to x2 = 9

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Question 7 (5 points)

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.

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Question 8 (5 points)

Give the slope and y-intercept of each line whose equation is given.

f(x) = 3/4 x – 2

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Question 9 (5 points)

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)

Question 9 options:

1. 27

2. 5x + 9

3. -4x + 8

1. 35

2. 4x + 9

3. -7x + 5

1. 29

2. 4x + 9

3. -4x + 5

1. 29

2. 3x + 8

3. 4x + 6

Question 10 (5 points)

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.

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Question 11 (5 points)

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

x2 + y2 = 16

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Question 12 (5 points)

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)

Question 12 options:

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

Question 13 (5 points)

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

g(x) = x2 + x

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Question 14 (5 points)

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

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Question 15 (5 points)

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.

(5, 3) and (5, -2)

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Question 16 (5 points)

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.

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Question 17 (5 points)

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

f(x) = x3 + x

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Question 18 (5 points)

Give the slope and y-intercept of each line whose equation is given.

y = 2x + 1

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Question 19 (5 points)

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.

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Question 20 (5 points)

Give the slope and y-intercept of each line whose equation is given.

g(x) = -1/2x

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