15 cal problems
1.
Which of the following relations are functions? (2 points)
 y = x + 3
 x = y + 3
 x – y = 3
2.
Find the range for f(x) = x^{2} + 1, for x < 0. (2 points)
y â‰¥ 1 

y > 1 

y < 1 

y â‰¤ 1 
3.
Find the domain for . (2 points)
x â‰ 2 

x â‰ 3 

x â‰ 3, 2 

x â‰ 2 
4.
Find the range of the function: f(x) = x + 3, for x â‰ 1. (2 points)
All real numbers 

y â‰ 4 

y â‰ 3 

y â‰ 1 
5.
Determine whether f(x) = 5x^{2} + 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 = x^{2} – 25 be below the xaxis? (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) = x^{2} + 1 and g(x) = x^{3}. (2 points)
x^{6} + 1 

x^{8} + 1 

(x^{2} + 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 â‰¥ 3 

y â‰¥ 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 = Ï€ 

Amplitude = , Period = 2Ï€ 

Amplitude = 3, Period = 