Exponential Vs Logarithm

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: $\left(-\infty,\infty\right)$
  Range: $\left(1,\infty\right)$

• Domain: −2<x<∞

  Range: y>0

• Domain: $\left(-\infty,\infty\right)$
  Range: $\left(0,\infty\right)$

Which function is exponential?

• f(x)
• h(x)
• g(x)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

What type of function is pictured?

• Exponential Growth

• Exponential Decay

• Linear

• Logarithm

What equation matches the graph?

• f(x) = 3^x
• f(x) = (⅓)^x
• f(x) = log₃(x)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What equation matches the graph?

• f(x) = 3^x
• f(x) = (⅓)^x
• f(x) = log₃(x)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

• f(x) = √x
• f(x) = log x

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

To evaluate a logarithm statement log₉81, you think "9 to what power is 81".

• True, and it's 2

• False

Tags

CCSS.HSF.BF.B.5

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8