Multiple choice and short answer math questions

Multiple choice and short answer math questions

3.

f(x) = 3x + 1; g(x) = 5x – 1

Find f/g. (5 points)

	(f/g)(x) = ; domain {x|x ≠ – }
	(f/g)(x) = ; domain {x|x ≠ – }
	(f/g)(x) = ; domain {x|x ≠ }
	(f/g)(x) = ; domain {x|x ≠ }

5.

Select true or false:

The function 4(x + 4)(x – 5)³ > 0, when x < -4 or x > 5. (5 points)

	True
	False

6.

f(x) = 4x + 7, g(x) = 3x²

Find (f + g)(x). (5 points)

	3x2 + 4x + 7
	-3x2 + 4x + 7
	12x3 + 21x

7.

f(x) = ; g(x) = 8x – 11

Find f(g(x)). (5 points)

	f(g(x)) = 2
	f(g(x)) = 8 – 11
	f(g(x)) = 8
	f(g(x)) = 2

8.

Describe how the graph of y = x² can be transformed to the graph of the given equation:

y = (x – 20)² (5 points)

	Shift the graph of y = x2 left 20 units.
	Shift the graph of y = x2 up 20 units.
	Shift the graph of y = x2 down 20 units.
	Shift the graph of y = x2 right 20 units.

9.

Is the function of f(x) = cos(4x) + even, odd or neither? (5 points)

	Even
	Odd
	Neither

10.

State the domain of the rational function.

f(x) = (5 points)

	All real numbers except -10 and 10
	All real numbers except 13
	All real numbers except 10
	All real numbers except -13 and 13

SHORT ANSWER: SHOW ALL WORK

1.

State the domain and range for the function f(x) = x² + 3.

2.

Show that the function f(x) = x³ + . is even, odd, or neither.

3.

Determine the equation of a line, in slope-intercept form, that passes through the points (9, -2) and (12, 0).

4.

Write the equation of the function g(x) if g(x) = f(x – 2) +4 and f(x) = x³ + 2.

5.

Identify the maximum and minimum values of the function y = 3 cos x in the interval [-2π, 2π]. Use your understanding of transformations, not your graphing calculator.

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