Exponentials & Logs Graphs and Inverses

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.HSF-IF.C.7E

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Tags

CCSS.HSF.BF.B.3

Write the equation of the function f(x)=3logx+4 after the following transformations:

Vertical stretch by a factor of 2, translate 5 units to the right.

• g(x)=5log(x+5)+4

• g(x)=5log(x-5)+4

• g(x)=6log(x-1)

• g(x)=6log(x-5)+4

Tags

CCSS.HSF.BF.B.3

find the asymptote: y = log₁₀ (x+3)

• x=-3
• x=3
• y=-3
• y=3

Tags

CCSS.HSF-IF.C.7E

What equation matches the graph?

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

Tags

CCSS.HSF-IF.C.7E

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3
• log₂ 3 = 8
• log₃ 8 = 2
• log₃ 2 = 8

Tags

CCSS.HSF.BF.B.5

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

Evaluate log₇ 343

• 3
• 49
• 7
• 1

Tags

CCSS.HSF.BF.B.5

Logarithmic form is the inverse of exponential form.

• True
• False

Tags

CCSS.HSF.BF.B.5