College Algebra Unit 1 Review

GRAPHING THE EQUATION:

y = -3|x|

What transformation(s) are made from the original |x| graph?

• Reflection over x

• Reflection over y and vertical stretch

• Reflection over x and vertical stretch

• Reflection over x and vertical shrink

GRAPHING THE EQUATION:

y =x³ + 3

What transformation(s) are made from the original x³ graph?

• Shift right by 3

• Shift up by 3

• Shift left by 3

• Shift down by 3

Is it a function?

{(-8,4), (-8,-3), (2,-6), (6,-7), (7,-3)}

• YES

• N0

Evaluate the function.

f(x) = x³ - 6x² - 7 ; f(-4)

Use the graph to find f(-4)

• -4

• 13

• 4

• 1.75

Where is the following increasing?

• (-∞, -3) U (3, ∞)

• (-∞, ∞)

• (-3, -2)

• (-2, 2)

Where is the following constant?

• (-∞, -3) U (2, ∞)

• (-∞, ∞)

• (-3, -2)

• (-2, 2)

Where is the following decreasing?

• (-∞, -3) U (2, ∞)

• (-∞, ∞)

• (-3, -2)

• (-2, 2)

Use the graph to determine the domain and range of the function.

• D: [0, 5] R: (-∞, ∞)

• D: [3, 5] R: (-∞, ∞)

• D: (-∞, ∞) R: [3, 5]

• D: (-∞, ∞) R: [0, 5]

Is the following a function?

x² + y² = 36

• y is a function of x

• y is not a function of x