Graph logarithmic functions
Grade 11 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
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Table for y = 2^x
x = -1, y = 1/2; x = 0, y = 1; x = 1, y = 2; x = 2, y = 4; x = 3, y = 8.
Milo swaps the x and y columns of the y = 2^x table to graph y = log₂ x. Which point on y = log₂ x comes from the row x = 3?
- (3, 8)
- (8, 3)
- (3, -8)
- (-3, 8)
Table for y = 3^x
x = -1, y = 1/3; x = 0, y = 1; x = 1, y = 3; x = 2, y = 9.
Noah swaps the x and y columns of the y = 3^x table to graph y = log₃ x. Which point on y = log₃ x comes from the row x = 2?
- (2, -9)
- (2, 9)
- (-2, 9)
- (9, 2)
Table for y = 5^x
x = -1, y = 1/5; x = 0, y = 1; x = 1, y = 5; x = 2, y = 25.
Pia swaps the x and y columns of the y = 5^x table to graph y = log₅ x. Which point on y = log₅ x comes from the row x = -1?
- (1, 1/5)
- (-1, -1/5)
- (1/5, -1)
- (-1, 1/5)
Table for y = log₄ x
x = 1/16, y = -2; x = 1/4, y = -1; x = 1, y = 0; x = 4, y = 1; x = 16, y = 2.
Ren sketches y = log₄ x from its table of points. What is the vertical asymptote of y = log₄ x?
- x = 0
- x = 1
- y = 0
- y = 1
Zee graphs y = ln x with a graphing app. What is the vertical asymptote of y = ln x?
- y = 1
- x = 0
- x = 1
- y = 0
Table for y = log₃ x
x = 1, y = 0; x = 3, y = 1; x = 9, y = 2; x = ?, y = 4.
Bo fills in the table for y = log₃ x by swapping the columns of the y = 3^x table. What x goes in the row where y = 4?
Table for y = log₅ x
x = 1, y = 0; x = 5, y = 1; x = 25, y = 2; x = ?, y = 3.
Esme fills in the table for y = log₅ x by swapping the columns of the y = 5^x table. What x goes in the row where y = 3?
Jun studies the graph of y = log₂ x. What is the domain of y = log₂ x?
- x ≥ 0
- x > 1
- x > 0
- all real numbers
Kira studies the graph of y = log₃ x. What is the range of y = log₃ x?
- y ≥ 0
- y > 0
- y > 1
- all real numbers
Luz studies the graph of y = log x. What is the domain of y = log x?
- x ≥ 0
- x > 0
- x > 1
- all real numbers