Exponentials and Logarithms

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2
• 4
• (2)^x
• 8

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.B.5

Is the pictured graph growth, decay, or linear or none?  

• Growth
• Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E

This is the horizontal line which the values of the function cannot fall below :

• Asymptote

• Growth Factor

• Axis of symmetry

• Curve

Tags

CCSS.HSF-IF.C.7D

Write in exponential form:

log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form:
2^-1 = 0.5

• log ₂ 0.5 = -1
• log _-1 0.5 = 2
• log ₂ -1 = 0.5
• log _-1 2 = 0.5

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate log₄1

• 1
• 0
• 4
• undefined

Tags

CCSS.HSF.BF.B.5

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

What is the domain and range of the function y=2^x ?
Use the graph to help!

•  Domain: All Real Numbers
  Range: y>0
• Domain: All Real Numbers
  Range: y>1
• Domain: −2<x<∞
  Range: y>0
• Domain: −∞<x<∞
  Range: y>0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit
• Horizontal shift right one unit
• Vertical shift up one unit
• Vertical shift down one unit

Tags

CCSS.HSF-IF.C.7E