4 math questions on common functions

4 math questions on common functions

1.

Determine the domain of the function.

(5 points)

	x ≤ 9
	All real numbers except 9
	All real numbers
	x > 9

2.

Use the graph of f to estimate the local maximum and local minimum.

(5 points)

	Local maximum: (0, -2); local minimum: (0, 0) and (π, 0)
	Local maximum: ; local minimum:
	Local maximum: (0, 0) and ; local minimum: (0, 0) and
	Local maximum: (0, 0) and ; local minimum:

3.

Determine algebraically whether the function is even, odd, or neither even nor odd.

f(x) = -3x⁴ – 2x – 5 (5 points)

	Neither
	Even
	Odd

4.

State the vertical asymptote of the rational function.

f(x) = (5 points)

	x = -3, x = 4
	x = 3, x = -4
	None
	x = 1, x = -1