Rational functions and graphs

Rational functions and graphs

week of 4/26

A2.F.IF.A.1

Objective

• SWBAT graph the following functions, identify key features of the graph, and interpret the meaning of the key features in relationship to the context of the problem IOT solve a real-world problem. * square root function *cube root function * exponential function * polynomial function * logarithmic function

• SWBAT graph rational functions based on key features IOT solve real world problems

Multiple Choice

Solve.

9(e^x) - 31 =23

• x = 1.79

• x = 4.21

• x = -3.5

• x = 1.27

Multiple Choice

Solve:

ln (3x + 2) = ln (5x - 6)

• x = 1

• x = 4

• x = 2

• x = 7

Multiple Choice

Solve:

log₂(2) + log₂(8x) = 6

• x = 3

• x = 2

• x = 6

• x = 4

Multiple Choice

What is the Vertical Asymptotes?

• x= -5

• x= 5

• x= 6

• x= -6

Multiple Choice

What are the Vertical Asymptotes of...

• x = 0, -5

• x=0, 5

• x = 2, -7

• x = -2, 7

Multiple Choice

Find the horizontal asymptote.

• None

• y = 0

• y = -1/3

• y = -3

Multiple Choice

What is the Horizontal Asymptote?

• None

• y= 0

• y= 1

• y= 5/4

Multiple Choice

Which asymptote(s) are determined by looking at the denominator?

• vertical

• horizontal

• slant

• none

Multiple Choice

What are the asymptotes

• x=1, x= 2, y =1, y= 2

• x= 2, x=-2, y = 1

• x=2 y =-1

• x=1 y =2, y =-2

Multiple Choice

• None

• x = 2

• x = 3

• x = 4

Multiple Choice

What is the hole?

• x= 4

• x= -4

• x= 5

• x= -5