Functions Precalculus

Describe the interval(s) over which the given function is decreasing.

• (-∞, 0) U (2, ∞)

• (5, -4) U (0, -3)

• (-3, 0) U (2, 3)

• (2, 3)

Describe the transformation from the parent graph

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

• A
• B
• C
• D

What is the horizontal asymptote? 

• x = 2

• x = 7

• y = 2

• y = 7

What is the vertical asymptote? 

• x = 2

• x = 7

• x = -2

• x = 5

If a function has a slope that is negative, what does that tell you?

• The function is increasing

• The function is decreasing

• The concavity of the function is up

• The concavity of the function is down

When the rate of change of f(x) changes from positive to negative, there is(are) ...

• a maximum.

• a minimum.

• no extrema.

Find the intervals of concavity for f(x) = x² + 2x + 1.

• concave up: (-∞,∞)

• concave down: (-∞,∞)

• concave up: (2, ∞)

  concave down: (-∞,2)

• concave up: (-∞,2)

  concave down: (2, ∞)

Where is the function decreasing?

• (-∞, -1)

• (-1, ∞)

• (-∞, 3)

• (-∞, ∞)

When is this function increasing?

• (-3, 3)

• (-2.5, 2.5)

• [-3, 3]

• (3, ∞)