Graphing logarithmic and exponential functions

What is the equation that best represents the graph?

• y=2^y
• y=2^x
• y=2^-x
• y=x²

Tags

CCSS.HSF-IF.C.7A

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

What is the equation that represents the exponential function in the image below?

• y=3(½)^x
• y=3(2)^x
• y=(2)^x
• y=2(3)^x

Tags

CCSS.HSF.LE.A.2

Evaluate log₅  20 to the third decimal place

• 0.537
• 2.996
• 1.301
• 1.861

Tags

CCSS.HSF.BF.B.5

Expand

• 6log₈v-2log₈u
• 6log₈u-2log₈v
• 3log₈u-2log₈v
• 6log₈u+2log₈v

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand completely: log(2x⁵) 

• log 2 + 5log x
• 5log 2 + 5log x
• 5log 2 + log x
• log 10 + log x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Use multiple log properties to write as a single log:
3log₂x -  log₂y + log₂z

• log₂(x/(yz))
• log₂(x³yz)
• log₂(x³z/y)
• log₂(x³/(yz))

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Solve for n:
2³ⁿ = 4

• 2
• 3
• 2/3
• 4

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Solve for x:
2^x+6=2⁵

• -1
• 11
• 1
• -11

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Solve: 9^8-x = 27^x-3

• 5
• -5
• 1/5
• -1/5

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4