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Topic 1 Review A2 Quizizz

Total questions: 57

Worksheet time: 3hrs 24mins

Name
Class
Date
1.

Domain and range?

a)

Domain: [0, 7]

Range: [-2, 4]

b)

Domain: [0.5, 7]

Range: [0, 4]

c)

Domain: (0, 7)

Range: (-2, 4)

d)

Domain: [0, 7]

Range: [4, 2]

2.

Positive and negative intervals?

a)

Positive:   (, 2)\left(-\infty,\ 2\right)  , 
Negative:  (2, )\left(2,\ \infty\right)  

b)

Positive: (0, 4)
Negative:  \left(-\infty,\ 0\right)  ,  (4, )\left(4,\ \infty\right)  

c)

Positive: (0, 4),  (0, )\left(0,\ \infty\right)  
Negative:  (4, )\left(4,\ \infty\right)  

d)

Positive: (0, 4)
Negative:  \left(-\infty,\ 0\right)  

3.

Increasing and Decreasing Intervals?

(Pretend there are arrows on the end)

a)

Increasing: (, 1)\left(-\infty,\ 1\right)
Decreasing: (1, )\left(1,\ \infty\right)

b)

Increasing: [4, )\left[-4,\ \infty\right)
Decreasing: (, 4]\left(-\infty,\ 4\right]

c)

Increasing: (, 1) and (3, )\left(-\infty,\ -1\right)\ and\ \left(3,\ \infty\right)
Decreasing: (-1, 3)

d)

Increasing: (1, )\left(1,\ \infty\right)
Decreasing: (, 1)\left(-\infty,\ 1\right)

4.
What is the equation of the graph below?
a)
f(x) = - I x + 2 I 
b)
f(x) = - I x - 2 I 
c)
f(x) =  I x + 2 I 
d)
f(x) =  I x - 2 I 
5.
Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units
a)
f(x) = |2x + 1| - 9
b)
f(x) = |2x - 1| - 9
c)
f(x) = 2|x + 1| - 9 
d)
f(x) = 2|x - 1| - 9
6.
Using the pictured graph, what is f(-3)? 
a)
-3
b)
-1
c)
1
d)
3
7.
What is g(7) if:
a)
-17
b)
-13 
c)
13       
d)
17
8.
Pick the correct graph
a)
A
b)
B
c)
C
d)
D
9.
Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...
a)
182
b)
176
c)
170
d)
-118
10.
Write a recursive rule for the sequence 17, 1, -15, -31 . . .
a)
an = an-1 + 16
b)
an = an-1 - 17
c)
an = an-1 - 15
d)
an = an-1 - 16
11.
Determine the sum of the series written in Sigma Notation. 
a)
45
b)
49
c)
90
d)
47
12.

How many solutions does the system have?


y + 2 = 4x - 3

y = 4x - 5

a)

One solution

b)

No solution

c)

Infinitely many solutions

13.
-4x - 6y = 6
4x + 6y = -4
a)
no solution
b)
(2,0)
c)
(-4,0)
d)
(0,0)
14.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
15.

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

a)

2x + 3y > 100

x + y ≤ 40

b)

100x + 2y > 3

x + y ≤ 40

c)

100x + 40y > 100

3x + 2y ≤ 40

d)

3x + 2y > 100

x + y ≤ 40

16.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
17.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
18.
What type of function is shown?
a)
linear
b)
quadratic
c)
square root
d)
absolute value
19.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
20.
Which parent function matches the graph?
a)
y = |x|
b)
y = ∛(x)
c)
y = x2
d)
y = a⋅bx
21.
a)

A

b)

B

c)

C

d)

D

22.

Using your knowledge of transformations, match each graph to the equation it represents

a)
1.

(x-4)2 + 6

b)
2.

(x-4)2 - 6

c)
3.

(x+4)2 - 6

d)
4.

(x+4)2 + 6

23.

Do you remember piecewise functions?

The piecewise function shown is going to be evaluated for several different values of x. Which values would go into 2x+32x+3 ?

Select ALL that apply

a)

0

b)

2

c)

4

d)

6

e)

8

24.
On the graph, which portion of the piecewise function is represented in red?
a)
x
b)
0.5x + 2.5       
c)
-1
d)
0.5x + 2
25.

What is the DOMAIN of the function?

a)

All real numbers

b)

x ≤ 4

c)

x < 4

d)

0 ≤ x ≤ 4

26.
What is f when x equals 0?
a)
-5
b)
0
c)
1/2
d)
1
27.
What is f when x equals 4?
a)
-5
b)
0
c)
3
d)
6
28.
What is f when x equals 8?
a)
0
b)
5
c)
11
d)
16
29.
Using the pictured graph, what is f(-3)? 
a)
-3
b)
-1
c)
1
d)
3
30.
On the graph, which portion of the piecewise function is represented in red?
a)
x
b)
0.5x + 2.5       
c)
-1
d)
0.5x + 2
31.

What is the DOMAIN of the function?

a)

All real numbers

b)

x ≤ 4

c)

x < 4

d)

0 ≤ x ≤ 4

32.
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
33.
What are the domain restrictions for the green piece of this function?
a)
-2 < x ≤ 1
b)
-1 < x ≤ 0.5
c)
x > -2
d)
x ≤ 1
34.
What is the domain restriction of the blue piece of this function?
a)
x > 0
b)
x ≥ 0
c)
x > 2
d)
x ≥ 2
35.
What is the domain of the graph?
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1≤ y ≤ 4
d)
1 < y < 4
36.
What is the value of f(0)?
a)
-2
b)
2
c)
4
d)
0
37.
Find f(-2)
a)
-3
b)
6
c)
8
d)
-6
38.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

39.

Match the graph with the correct equation.

a)
b)
c)
d)
40.

Match the graph with the correct equation.

a)
b)
c)
d)
41.
Evaluate f(-5)
a)
0
b)
2
c)
5
d)
-4
42.

Find f(2)

a)

f(2) = 0

b)

f(2) = 1

c)

f(2) = 3

d)

f(2) = 4

43.

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.


How much does he earn for a 70 hour week?

a)

$1020

b)

$1140

c)

$840

d)

He works for free!

44.
What are the domain restrictions for the green piece of this function?
a)
-2 < x ≤ 1
b)
-1 < x ≤ 0.5
c)
x > -2
d)
x ≤ 1
45.
What is the domain restriction of the blue piece of this function?
a)
x > 0
b)
x ≥ 0
c)
x > 2
d)
x ≥ 2
46.
Find f(-2)
a)
-3
b)
6
c)
8
d)
-6
47.

What is the solution to the systems of equations shown in the graph?

a)

1 Solution x=-1/2

b)

1 Solution y=-1/2

c)

Many Solutions

d)

No Solution

48.

Match the following graphs to the systems of equations

a)
1.

y=23x+1y=\frac{2}{3}x+1  

y=23x2y=\frac{2}{3}x-2  

b)
2.

y=x+7y=-x+7   y=2x+1y=2x+1  

c)
3.

y=2x+4y=-2x+4   y=2x+4y=-2x+4   

49.
x + 2y = -4
x - 2y = 8
a)

(2,5)

b)

(2,-3)

c)

(2,-2)

d)

(-3,2)

50.

Solve by elimination.

6x - y = 2

-3x - 6y = 12

a)

(2,0)

b)

no solution

c)

(0,-2)

d)

infinite solutions

51.

What is F(-8)?

a)

2

b)

-4

c)

-2

d)

0

52.

Find the function's maximum and minimum points

a)

no maximum

minimum (-4,-1)

b)

no minimum

maximum (-3, 1)

c)

no maximum

minimum (-1,-4)

d)

maximum (-3,1)

minimum (0,-3)

53.

Which interval of the graph is increasing?

a)

[-5,5]

b)

[0,)\left[0,\infty\right)  

c)

(,)\left(-\infty,\infty\right)  

d)

(,0]\left(-\infty,0\right]  

54.
On which interval is the graph constant?
a)
[-5,-3]
b)
[-3,-1]
c)
[1,4]
d)
(-∞,-5]
55.
Where is the function increasing?
a)
(-∞,5]
b)
(-∞,0]
c)
(-∞,2]
d)
[0,2]
56.
What is the domain of the function?
a)
(-∞,5]
b)
(-∞,5)
c)
(-∞,2]
d)
(-∞,2)
57.
How many roots does the function have?
a)
None
b)
1
c)
2
d)
3