Domain and Range Logarithms and Exponential

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CCSS.HSF-IF.C.7A

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CCSS.HSA.REI.D.12

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CCSS.HSF.BF.A.2

f(x)=log₅(x+4) - 2

Find the Domain and Range

• Domain: x ≥ -4

  Range: all real numbers

• Domain: all real numbers

  Range: y ≥ -4

• Domain: all real numbers

  Range: y > -4

• Domain: x > -4

  Range: all real numbers

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Find the Domain and Range

• Domain: (-∞, ∞)

  Range: ( -2, ∞)

• Domain: (-∞, ∞)

  Range: ( -∞, -2)

• Domain: ( -∞, -2)

  Range: (-∞, ∞)

• Domain: ( -2, ∞)

  Range: (-∞, ∞)

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 ,∞)

  Range: y>0

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Explain the domain and range of the parent function graph of a logarithmic function.

• Domain: x > 0, Range: y ∈ R

• Domain: x ∈ R, Range: y > 0

• Domain: x > 0, Range: y > 0

• Domain: x < 0, Range: y ∈ R

What is the domain and range of the function y=2^x ?

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Describe the domain and range of a basic logarithmic function.

• Domain: All real numbers, Range: All real numbers

• Domain: All positive real numbers, Range: All real numbers

• Domain: All negative real numbers, Range: All real numbers

• Domain: All real numbers, Range: All positive real numbers