multiple choice and short answer math questions 1
3.
f(x) = 3x + 1; g(x) = 5x – 1
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5.
Select true or false:
The function 4(x + 4)(x – 5)3 > 0, when x < -4 or x > 5. (5 points)
6.
f(x) = 4x + 7, g(x) = 3x2
Find (f + g)(x). (5 points)
7.
f(x) = ; g(x) = 8x – 11
Find f(g(x)). (5 points)
8.
Describe how the graph of y = x2 can be transformed to the graph of the given equation:
y = (x – 20)2 (5 points)
9.
Is the function of f(x) = cos(4x) + even, odd or neither? (5 points)
10.
State the domain of the rational function.
f(x) = (5 points)
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.