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Intro to Functions Quiz

Total questions: 40

Worksheet time: 1hrs 14mins

Name
Class
Date
1.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Outputs have different inputs every time

d)

x-values and y-values

2.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
3.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
4.

What is x if

f(x) = -1?

a)

4

b)

0

c)

3

d)

6

5.

Check the tables that are NOT functions

a)
b)
c)
d)
e)
6.

Check all of the graphs that are functions

a)
b)
c)
d)
e)
7.

Write the set of ordered pairs to represent the table.

a)

(6,-12), (3,-6), (0,0), (3,6), (6,12)

b)

(-12,6), (-6,3), (0,0), (6,3), (12,6)

c)

(-12,3), (-6,6), (0,0), (6,6), (12,3)

8.

If f(x)=3x2+7xf(x)=3x^2+7x  and g(x)=2x2−x−1g(x)=2x^2-x-1 ,

find f(x)+g(x)f\left(x\right)+g(x) .

a)

11x2−111x^2-1  

b)

5x4+6x2−15x^4+6x^2-1  

c)

5x2+6x−15x^2+6x-1  

d)

5x2+8x−15x^2+8x-1  

9.

Identify the domain and range of the following relation:

a)

Domain:

{-6, 14, 2, 28}

b)

Domain and Range:

(-6,14), (0,32), (2,38), (4,44)

c)

Domain:

{-6, 0, 2, 4}

Range:

{14, 32, 38, 44}

d)

Domain:

{14, 32, 38, 44}

Range:

{-6, 0, 2, 4}

10.

Which of the following relations is a function?

a)

{(1, −6), (3, −5), (1, 0)}

b)

{(0, 5), (5, −1), (5, 9)}

c)

{(6, 1), (6, 2), (6, 3)}

d)

{(0, 8), (1, 7), (2, 6)}

11.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
12.
a)
Function
b)
Not a Function
13.

a)

The hedges grew rapidly at first, and

then grew slowly during a drought.

b)

The hedges grew slowly at first, but then grew faster with fertilizer before someone trimmed them.

c)

The hedges grew rapidly, and then stayed at the same height because they were trimmed often.

d)

The hedges were trimmed monthly, but grew rapidly between trimmings.

14.

What type of correlation does the graph show?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

15.

What type of correlation does the graph show?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

16.

What type of correlation does the graph show?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

17.

Which type of correlation most likely represents the relationship between number of hours studied for an exam and the grade on the exam?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

18.

Which type of correlation most likely represents the relationship between amount spent on heating and temperature?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

19.

_________________ correlation is when one set of data increases and the other set of data decreases.

a)

Positive

b)

Negative

c)

No

20.

Describe the correlation: "The number of pages you have read in a book and the number of pages remaining."

a)

Positive

b)

Negative

c)

None

21.

Describe the correlation: "The day of the month and the wind speed."

a)

Positive

b)

Negative

c)

None

22.

What type of correlation is shown in this graph?

a)

Strong Positive

b)

Weak Positive

c)

Strong Negative

d)

Weak Negative

e)

No Correlation

23.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

24.

Which with is the line of best fit?

a)

A) Black

b)

B) Orange

c)

C) Red

d)

D) Blue

25.

The scatter plot shows the number coffee shops in different cities and the number of violent crimes. Which of the following is NOT true?

a)

A) As the number of coffee shops increase, violent crimes appears to increase.

b)

B) The line of best fit (regression line) shows a positive correlation

c)

C) The data has a positive correlation coefficient

d)

D) An increase in coffee shops causes an increase in violent crimes

26.
Find the equation of the line of best fit for this table.
a)
y = -2.28x + 51.08
b)
y = 51.08x - 2.28
c)
y = 0.06x - 0.26
d)
y = -2.28x - 0.26
27.
 Which inequality can be represented by the graph?
a)
x < 5
b)
x > 5
c)
x ≤  5
d)
x ≥ 5
28.

Solve the inequality

a)

x ≤ 2

b)

x ≤ -2

c)

x ≥ 2

d)

x ≥ -2

29.

What inequality is graphed?

a)

x > 2 and x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

30.
You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food.  You can spend at most $25.  Which inequality models this scenario?
a)
2x + 10 ≥ 25
b)
2x + 10 > 20
c)
2x + 10 ≤ 25
d)
2x + 10 < 25
31.

You have $120 budgeted to rent a moving truck for 2 days. Each day is $39, plus $0.25 per mile. How many miles can you drive the truck and stay within your budget?

a)

170 miles

b)

168 miles

c)

180 miles

d)

172 miles

32.
How can I tell if the graph of an inequality will have a solid line?
a)
It has just an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
33.
Do I need to flip my sign?
2x -3y  ≥ 12
a)
Yes
b)
No
34.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
35.
Select the correct graph for each inequality. y≤ -¾x -1
a)
A
b)
B
c)
C
d)
D
36.

Grace is bringing treats to her Algebra 1 class on her birthday. The number of treats she brings is based on the number of students in her class.


Which of the variables is independent?

a)

number of students

b)

number of treats

37.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
38.
Dilcia wants to know how drinking milk affects how tall a Monica grows. Which is the independent variable?
a)
Monica's growth
b)
drinking milk
39.
Marcos wants to know: Does the type of gasoline put in a car effect how fast the car can drive? What is the independent variable?
a)
Type of gasoline
b)
which car the gas is put into
c)
how fast the car can drive
d)
how much gas is put into the car
40.

Ms. Shi is making a scrapbook. As she adds more photos, the scrapbook grows thicker.


p = the number of photos added

t = the thickness of the scrapbook

a)

t is the independent variable and p is the dependent variable

b)

p is the independent variable and t is the dependent variable

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