CA-YL Functions, Linear, and Exponential Review

CA-YL Functions, Linear, and Exponential Review

Function vs Relation, Function Notation, Domain/Range, Linear and Exponential

Function vs Relation

• In order to be a function, x CANNOT repeat.

• If any x-values repeat with different y-values, then it is a relation.

• For graphs, use the vertical line test; if a vertical line would touch the graph more than once, then it is NOT a function.

Multiple Choice

Is this a function?

• Yes
• No

Multiple Choice

Is this a function:
{ (3, 5) (-3, 5) (-1, 2) (6, 6) (2, 9) }

• Yes
• No

Multiple Choice

Is this a function?

• Yes
• No

Function Notation

• If you are asked to find f(-3), then plug in a value of -3 for x and simplify in your calculator.

• If it says f(x)=5, then set the equation equal to 5 and solve for x.

• On a graph: If it says f(-3), go to -3 on the X-AXIS and then go up and over to find y. If it says f(x)=5, go to 5 on the Y-AXIS and then go over and down to find x.

Multiple Choice

If f(x)= -4x - 8, find f(5)

• 12
• -28
• -12
• -9

Multiple Choice

What is f(1)?

• 1
• 5
• 0
• 4

Domain and Range

• Domain is all the possible x-values

• Range is all the possible y-values

• From a table, mapping, or coordinates: Just list the x-values for domain and list the y-values for range

• From a graph: Read the graph from LEFT to RIGHT for DOMAIN and read it BOTTOM to TOP for RANGE.

Multiple Choice

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, identify the domain and range.

• D: {1, -3, -4,}

  R: {0, 1, 2, -4}

• D:{0, 1, 2, -4}

  R:{1, -3, -4}

• D:{0, 1, 2, 3, 4}

  R:{1, -3, -4}

Exponential vs Linear

• Linear: Constantly ADDING or SUBTRACTING on y

• Exponential: Constantly MULTIPLYING or DIVIDING on y

• For linear and exponential graphs, remember to use DESMOS!

Multiple Choice

Is the table linear or exponential?

• Linear

• Exponential

Multiple Choice

Is the table linear or exponential?

• Linear

• Exponential