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PreCalculus Quiz 1

Total questions: 24

Worksheet time: 1hrs 4mins

Name
Class
Date
1.
What is the range of the function?
a)
[1, 5]
b)
(5, 4]
c)
[1, 4]
d)
(1, 5)
2.
What is the domain of the graph?
a)
[-7, 5)
b)
(-7, 5]
c)
[-3, 1)
d)
(-3, 1]
3.
What is the range of the relation?
a)
(-∞, ∞)
b)
(-2, 2)
c)
(-3, 3)
d)
[-4, 5)
4.
What is the domain of this function?
a)
All Real Numbers
b)
-1 ≤ x ≤ 1
c)
-1 ≤ f(x) ≤ 1
d)
2
5.
What is the domain of this function?
a)
1 ≤ f(x) ≤ 7
b)
1 ≤ x ≤ 7
c)
-3 ≤ f(x) ≤ 3
d)
-3 ≤ x ≤ 3
6.

Describe the transformation that occurred

p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

7.

Describe the transformation that occurred.

h(x) = f(x) + 2

a)

up 2 units

b)

left 2 units

c)

Vertical Strech

d)

right 2 units

8.

Describe the transformation that occurred.

w(x) = f(x - 7)

a)

Down 7

b)

Up 7

c)

Right 7

d)

vertical compression

9.

Describe the transformation that occurred

g(x) =2f(x)

a)

Up 2 units

b)

vertical compression

c)

vertical stretch

d)

Right 2 Units

10.

Describe the transformation that occurred

h(x) = 1/5f(x)

a)

Up 5 Units

b)

vertical compression

c)

vertical stretch

d)

Down 5 Units

11.
What causes the graph of y = x2 to open downward?
a)
multiply the x2 by a fraction
b)
multiply the x2 by a decimal
c)
multiply the x2 by a negative number
d)
multiply the x2 by a number greater than 1
12.
What are the transformations?
y=(x-2)3+4
a)
Horz shift right 2      Vert shift up 4
b)
Horz shift left 2    Vert shift up 4
c)
Horz shift right 2      Vert shift down 4
d)
Horz shift left 2      Vert shift up 4
13.
Describe the transformation from dotted to solid.
a)
f(x + 4)
b)
f(x - 4)
c)
f(x) + 4
d)
f(x) - 4
14.
Which parent function matches the graph?
a)
y = |x|
b)
y = x
c)
y = x2
d)
y = 2x
15.
What type of function is shown?
a)
linear
b)
quadratic
c)
square root
d)
absolute value
16.
Name the parent function.
a)
linear
b)
quadratic
c)
cube root
d)
cubic
17.
What type of function is shown?
a)
cube root
b)
square root
c)
logarithm
d)
exponential
18.
What is g(7) if:
a)
-17
b)
-13 
c)
13       
d)
17
19.

Evaluate f(0)

a)

0

b)

19

c)

9

d)

-19

20.
Which piecewise function corresponds to this graph? (Take your time)
a)
f(x) = { x  if x < 4;   -x+1  if x ≥ 4
b)
f(x) = { x  if x ≤ 4;  -x+1  if x > 4
c)
f(x) = { -x+1  if x < 4;  x  if x ≥ 4
d)
f(x) = { -x+1  if x ≤ 4;  x if x > 4
21.
What is f when x equals 4?
a)
-5
b)
0
c)
3
d)
6
22.

Find the domain 

 f(x)=x4x4f\left(x\right)=\frac{\sqrt{x-4}}{x-4}  

a)

 (4,)\left(4,\infty\right)  

b)

 [4,)\left[4,\infty\right)  

c)

 ((,4))\left(\left(-\infty,4\right)\right)  

d)

 (,4]\left(-\infty,4\right]  

23.

Find where the functions equal each other  f(x)=x2 2f\left(x\right)=x^{2\ }-2  and  g(x)=7x14g\left(x\right)=7x-14  

 

a)

No solution

b)

 x=3, x=4x=3,\ x=4  

c)

 x=3, x=4x=-3,\ x=-4  

d)

 x=2, x=6x=2,\ x=6  

24.

 Find the domain:  f(x)=x242x2 +6x+4Find\ the\ domain:\ \ f\left(x\right)=\frac{x^2-4}{2x^{2\ }+6x+4}  


a)

All Real Numbers

b)

 (,2)U(2,2)U(2,)\left(-\infty,-2\right)U\left(-2,2\right)U\left(2,\infty\right)  

c)

 (,2)U(2,1)U(1,)\left(-\infty,-2\right)U\left(-2,-1\right)U\left(-1,\infty\right)  

d)

 (,2)U(2,1)U(1,2)U(2,)\left(-\infty,-2\right)U\left(-2,-1\right)U\left(-1,2\right)U\left(2,\infty\right)