Exponential and Logarithmic Functions Transformations

y = log_bx is equivalent to the exponential form _____, x>0, b>0, b≠1.

• b^x=y

• b^y=x

• y^x=b

• x^y=b

Tags

CCSS.HSF.BF.B.5

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

The function f(x) = log_bx is the ___________ function with base _________.

• exponential, b

• exponential, x

• logarithmic, b

• logarithmic, x

Describe the graph of f(x) = log x changed to

f(x) = log(x + 21) - 50

• translate right 21 units and 50 units down

• translate left 21 units and 50 units down

• translate right 21 units and 50 units up

• translate left 21 units and 50 units up

Describe the graph of f(x) = log₉ x transformed to f(x) = log₉(-x + 1) - 5

• Reflection about the y-axis; shift right 1 and 5 down

• Reflection about the y-axis; shift left 1 and 5 down

• Reflection about the x-axis; shift right 1 and 5 units down

• Reflection about the x-axis; shift left 1 and 5 units down

Describe the transformations from the parent function y=log₆x to y = - log ₆ (x - 1) - 5

• Reflection about the x-axis; shift left one and up five

• Reflection about the x-axis; shift left one and down five

• Reflection about the y-axis; shift right one and down five

• Reflection about the x-axis; shift right one and down five

Match the graph with its equation

• y = log₆(-x) + 1

• y = log₆(x − 2) + 1

• y = log₆(x + 2) - 1

• y = log(x-8) + 1

Tags

CCSS.HSF-IF.C.7E

What is the domain of log(x)?

• (-∞, ∞)

• [0, ∞)

• (0, ∞)

• Pickle

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

log₄1 = 

• 0

• 1

• 4

• DNE

What is the x-intercept of log₇(x)?

• Pizza

• -1

• 0

• 1

Tags

CCSS.HSF-IF.C.7E