Graphs and Inverse Functions

Choose the equation of the graph shown by evaluating each equation at x = 0.

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What is the domain of log(x)?

• (-∞, ∞)
• [0, ∞)
• (0, ∞)
• Pickle

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of log(x)?

• (-2, 4)
• (-∞, ∞)
• (-∞, 0)
• Cucumber

Tags

CCSS.HSF-IF.C.7E

Match the graph with its equation

• y = log₄ (x)+2
• y = log₄ (x + 2) + 1 
• y = log₄ (x - 1) + 2
• y = log₄ (-x + 2)

Tags

CCSS.HSF-IF.C.7E

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

find the asymptote: y = log₁₀ (x+3)

• x=-3
• x=3
• y=-3
• y=3

Tags

CCSS.HSF-IF.C.7E

What transformations occur to f(x) = 5^x?

g(x) = 5^x−3 + 2

• translate right 3, up 2

• translate left 3, up 2

• translate left 3, down 2

• translate right 3, down 2

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

Which transformations describe the function
f(x) = −4log₃(x − 2) + 5?

• reflection over x-axis, shift right 2, shift up 5
• reflection over x-axis, shift right 2, shift up 5, vertical stretch
• reflection over y-axis, shift left 2, shift up 5
• reflection over x-axis, shift right 2, shift up 5, vertical shrink

Find the domain of y = log₁₀(x+3)-1

• x<-3
• x>-3
• x<3
• x>3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5