Question Description

1.Which of the following relations are functions? (2 points)

y = -x + 3x = y + 3x – y = 3

None of them

All of them

Choice II only

Choice III only

2.

Find the range for f(x) = x2 + 1, for x < 0. (2 points)
y ? 1
y > 1

y < 1
y ? 1
3.
Find the domain for . (2 points)
x ? 2
x ? -3
x ? -3, -2
x ? -2
4.
Find the range of the function: f(x) = x + 3, for x ? 1. (2 points)
All real numbers
y ? 4
y ? 3
y ? 1
5.
Determine whether f(x) = 5x2 + 3x + 4 has a maximum or minimum. (2 points)
Maximum
Minimum
6.
Where is the function 4(x + 2)(x - 3)3 > 0? (2 points)

When x < -2 or x > 3

When x > -2 or x < 3
For no x values
For all x values
7.
For which x value would the graph of y = x2 - 25 be below the x-axis? (2 points)
7
6
5
4
8.
Find f(g(-3)) if and g(x) = (x - 1)2 . (2 points)
18
32
1
9.
Find f[g(x)] if f(x) = x2 + 1 and g(x) = x3. (2 points)
x6 + 1
x8 + 1
(x2 + 1)3
None of these
10.
Find g(x) if g(x) is the resulting function from moving f(x) = (x + 2) right 1 unit and up 6 units. (2 points)
g(x) = (x + 1) + 6
g(x) = (x - 1) + 6
g(x) = (x + 3) + 6
g(x) = (x - 6) + 1
11.
Rewrite f(x) = sin(x) if the function is stretched vertically by a factor of 3. (2 points)
sin(3x)
3sin(x)
12.
What is the domain of ? (2 points)
All real numbers less than 3
All real numbers except 3
All real numbers greater than 1
All real numbers greater than 3
All real numbers
13.
Find the range of . (2 points)
y > 3

y ? 3

y ? 0

All real numbers

14.

Is the function of even, odd, or neither? (2 points)

Even

Odd

Neither

15.

Find the period and amplitude for f(x) = 3sin(2x). (2 points)

Amplitude = 2, Period = .

Amplitude = 3, Period = ?

Amplitude = , Period = 2?

Amplitude = 3, Period =

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