Unit 1 Review: Functions

Unit 1 Review: Functions

Multiple Choice

Determine if the relation is a function

• Not a function, each input has more than one output

• Yes it is a function, because each input has exactly on output

• Not a function, input is equal to output

• Yes it is a function, -1/2 is a fraction of 2

Multiple Choice

Is this table a function or not a function? 

• Function

• Not a Function

Multiple Choice

Is the relation a function?

• Yes, each input has one output

• No, each input has more than one output

• No, the cost of the movies is different

• Yes, each output has one input

Multiple Choice

Is this table a function or not a function? 

• Function

• Not a Function 

Multiple Choice

Which of the relations below is a function?

• {(1, 1,), (2, 1), (3, 1), (4, 1), (5, 1)}

• {(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}

• {(0, 2), (0, 3), (0, 4), (0, 5), (0, 6)}

Multiple Choice

Given the relation A = {(5, 2), (7, 4), (9, 10), (x, 5)}. Which of the following values for x will make relation A a function?

• 7

• 9

• 4

Multiple Choice

The graph of a relation is shown below. Is the relation a function?

• Yes

• No

• Cannot be determined from a graph

Multiple Choice

Does the graph represent a function?

• Yes, because the vertical line test shows there are no repeating input values

• No, because the vertical line test shows there are repeating input values

Multiple Choice

Is this a function? 

• Yes 

• No

Multiple Choice

Which graph represents a function?

Multiple Choice

What is the domain of this graph?

• D = { 2,3,-5,-3,-3,-5}

• D = {-5, -3, 2 }

• D = {-5, -3, 3}

• D = {-5, -3}

Multiple Choice

Identify the domain of the following relation:

• {-6, 14, 2, 28}

• {(-6,14), (0,32), (2,38), (4,44)}

• {-6, 0, 2, 4}

• {14, 32, 38, 44}

Multiple Choice

What is the range of this graph?

• R = { 2,3,-5,-3,-3,-5}

• R = {-5, -3, 2 }

• R = {-5, -3, 3}

• R = {-5, -3}

Multiple Choice

The left grouping in a mapping is the...

• domain.

• range.

• y-axis.

• relation.

Multiple Choice

What is the range of the following graph?

• -5, -1,  0 , 1, 5

• -4, -2, 0, 3, 6

• (-4, 1)  ( 6, 0)

• (6, 0)

Multiple Choice

What is the range?

• {-3, -1, 2, 4}

• {0, 4, 7} 

• {0, 4, 4, 7}

• {7, 4, 0}

Multiple Choice

What is the range?

• {-2, -1, 0, 3}

• {3, 0, -1, 0, -2}

• {-4, -2, 1, 2, 5}

• {-4, -2, -1, 0, 1, 2, 3, 5}

Multiple Choice

The relation that is represented by the equation y = 20 - 2x has the domain

{3 , 4, 5, 6}. Which of the following sets is the range of the relation?

• {3, 4, 5, 6}

• {8, 10, 12, 14}

• {12, 13, 14, 15}

• {14, 16, 18, 20}

​Function Notation & Evaluating Functions

Multiple Choice

What is the value of f(-5)?

• -2

• 2

• 4

• 0

Multiple Choice

What is f(2)?

• -4

• 8

• 0

• 5

Multiple Choice

Evaluate f(33)

• 33

• 11

• 10

• 8

Multiple Choice

f(x)=x²-5x f(4)=

• -4

• 126

• 24

• 84

Multiple Choice

Evaluate f(t)=-2t²+ 1 for f(-3)

• 19

• 37

• -17

• -11

Multiple Choice

Evaluate f(0) + g(1) + h(2)

• 5

• 3

• 4

• 13

Multiple Choice

Evaluate f(1) + g(0) + j(2).

• -7

• 21

• 7

• 3

Multiple Choice

If $$f\left(x\right)\ =\ x-1$$ and $$g\left(x\right)=5x-2$$ , then  $$f\left(x\right)+g\left(x\right)=$$

• $$5x^2+1$$  

• $$5x^2-3$$  

• $$6x+1$$  

• $$6x-3$$  

Multiple Choice

If $$f\left(x\right)\ =\ x-1$$ and $$g\left(x\right)=5x-2$$ , then  $$f\left(x\right)-g\left(x\right)=$$

• -4x - 3

• -4x +1

• 6x + 1

• 6x - 3

Multiple Choice

If $$f\left(x\right)\ =\ 3x^2-4$$ and $$g\left(x\right)=x^2-8x+4$$ , then  $$f\left(x\right)+g\left(x\right)=$$

• $$4x^4-8x-8$$  

• $$4x^4-8x$$  

• $$4x^2-8x-8$$  

• $$4x^2-8x$$  

Multiple Choice

If $$f\left(x\right)\ =\ 3x^2-4$$ and $$g\left(x\right)=x^2-8x+4$$ , then  $$f\left(x\right)-g\left(x\right)=$$

• $$2x^2-8x-8$$  

• $$2x^2+8x-8$$  

• $$2x^2-8x$$  

• $$2x^2+8x$$  

Multiple Choice

The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles. What does c(7) represent?

• A cost of $7 to ride the taxi

• The cost to ride 7 miles

• The minimum distance to ride a taxi

• The minimum cost of a taxi

Multiple Choice

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

• After 5 week the plant is 4 inches tall

• The plant grows at a rate of 5/4 inch per week

• After 4 weeks the plant is 5 inches tall

• The plant grows at a rate of 1 inch per week

Multiple Choice

A company is selling bubble gum.  The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum.  Find g(8) and tell what it means within the context of the problem.

• g(8)=8.  This means that after 8 packages of gum, the company makes $8.

• g(8)=42.  This means that 8 packages of gum costs $42.

• g(8)=28.  This means that 8 packages of gum costs $28.

• g(8)=24.  This means that 8 packages of gum costs $24.