Functions and Graphs of Functions

What is the definition of function?

• Has inputs and outputs

• Every input has only ONE output

• The same inputs has a different output every time

• x-values and y-values

Tags

CCSS.8.F.A.1

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)
• (3,4) (4,-3) (7,4) (3, 8)
• (6,-5) (7, -3) (8, -1) (9, 1)
• (2, -2) (5, 9) (5, -7) (1, 4)

Tags

CCSS.8.F.A.1

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

Tags

CCSS.8.F.A.1

To determine if a graph represents a function, we can use the _______ line test.

• horizontal

• straight

• vertical

• slope

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

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Select all the true statements.

• Time is a function of temperature.

• The lowest temperature occurred between 4:00 and 5:00.

• The temperature was increasing between 9:00 and 10:00.

• The temperature was 74 degrees twice during this time period.

• There was a four-hour period in which the temperature did not change.

Tags

CCSS.8.EE.B.5

The graphs of y = g(x) and y = f(x) are shown.  Place points on the graph that will satisfy each given condition.

* A point on the graph of g where x = 0 ​ (a)  

* A point on the graph of g where f(x) > g(x) ​ (b)   or ​ ​ (c)  

* A point on the graph of f where f(x) = 0 ​ (d)  

• (0,2)
• [-2.5 , -0,5]
• x >3
• (2.5, 0)
• (0,1)
• [-5, 5]
• [-4,0]