Graphical Features

Which statement is true about functions?

(There is more than one answer)

• x-values represent the input and y-values represent the output

• x-values represent the output and y-values represent the input

• each input must have exactly one output

• each output must have exactly one input

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the domain and range of the graph?

Remember...

*Domain is the "x" values from left to right.

*Range is the "y" values from bottom to top.

• -7 ≤ x < 5

  -3 ≤ y < 1

• -3 ≤ x < 1

  -7 ≤ y < 5

• -7 < x < 5

  -3 < y < 1

• -3 < x < 1

  -7 < y < 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Does this graph have a minimum or maximum? What point?

• minimum at (-2,-1)

• minimum at (-1,-2)

• maximum at (-2,-1)

• maximum at (-1,-2)

Tags

CCSS.HSF-IF.C.7D

Does this graph have a minimum or maximum? What point?

• Minimum at (2, 0)

• Minimum at (0, 2)

• Maximum at (2, 0)

• Maximum at (0, 2)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the zeros?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• y= 0 and y=4

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Find the interval(s) over which the function is decreasing.

(There is more than one answer)

• $-6<x<-4$
  

• $-4<x<-2$
  

• $-2<x<2$
  

• $2<x<5$
  

• $5<x<6$
  

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the interval(s) over which the function is increasing.

• $-6<x<-4$
  

• $-4<x<-2$
  

• $-2<x<2$
  

• $2<x<5$
  

• $5<x<6$
  

Tags

CCSS.HSA.REI.D.10

Given the graph of f(x), over which interval is f(x) > 0?

(y-values are positive)

• -5 < x < -1

• -1 < x < 4

• -5 ≤ x ≤ -1

• -1 ≤ x ≤ 4

Tags

CCSS.HSF-IF.C.7A

Bonus:

Given that f(x) = x² and g(x) = 3f(x) + 1, find the value of g(2).

• 13

• 7

• 6

• 12

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2