Functions Quiz Review

Functions Quiz Review

Algebra 1B

Characteristics of Functions

• Every element in the domain must relate to only ONE element in range

• Relation between Domain (input, independent variable, x) and Range (output, dependent variable, y)

• Can be constant (y does not change), linear (y is a sequence with a common difference), or nonlinear (y is not a sequence)

Multiple Select

Select all statements that are true for functions.

• There can be more than one output for a single input value.

• The range is all valid output or y values

• There may exist one or more input values relating to one output value.

• Discrete functions can have more than one x value.

Multiple Choice

The domain of a function is the set of all _________ numbers in that function.

• Input

• x

• Independent

• All of the above

Multiple Choice

Determine if the mapping shown is a function.

• Yes, the mapping is a function

• No, the mapping is not a function

Multiple Choice

Which of the following tables does NOT represent a function?

The Vertical Line Test

• Drawing vertical lines on a graph can visualize the functionality of the domain and range

• If one vertical line (an input value) only intersects with the graph (an output value) once, then the graph represents a function!

• If a vertical line intersects with a graph more than once, then it is NOT a function

Multiple Choice

Use the Vertical Line Test on the graph to determine if it is a function.

• Yes, this is a function

• No, it is not a function

Remember Function Notation:

• Can be written as f(x) =

• f is the function name

• x is the input value

• anything to the right of the equals sign is the output value

• if f(x) = 2x + 3, then f(2) = 2(2) + 3

• f(2) = 7

• REMEMBER PEMDAS WHEN EVALUATING FUNCTIONS!!!

Multiple Choice

If f(x) = 5x + 10, then f(2) =

• 20

• 25

• 15

• 62

Multiple Choice

If f(x) = 5x + 10, then f(-1) =

• 25

• 15

• -15

• 5

Features of Graphs

• Absolute Minimum: lowest y-value of a graph

• Absolute Maximum: highest y-value of a graph

• WATCH FOR ARROWS! All arrows imply a function going towards

   $\infty$  (infinity)

Multiple Choice

What is the absolute maximum value of the graph shown?

• 1.82

• 2.029

• 4.913

• -4.814

Multiple Choice

What is the absolute minimum value of the graph shown?

• 1.82

• 2.029

• 4.913

• -4.814

Domain and Range of a Graph

All values of x (domain) and y (range) where a graph exists. Use a compound inequality to describe both Domain and Range.

 $D:\ -3<x\le1;\ R:\ -4\le y<0$  

Multiple Choice

What is the range of the graph shown?

• -4.814 < y < 1.82

• 0 < y < 6.28

• y > 0

• y < 6.28

Multiple Choice

What is the domain of the graph shown?

• -4.814 < x < 1.82

• 0 < x < 6.28

• x > 0

• x < 6.28

Great Job!!!

Our Quiz will be on TUESDAY, DECEMBER 8