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Logarithmic Functions and Their Properties

Logarithmic Functions and Their Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to graph logarithmic functions, focusing on transformations such as adding a negative sign, a constant, multiplying by a factor, and shifting the graph horizontally. Each transformation is discussed in terms of its impact on the graph's shape and position, providing a comprehensive understanding of non-standard logarithmic functions.

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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the standard form of a logarithmic function?

y = a^x

y = log_a(x)

y = x^a

y = a * log(x)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where does the graph of y = log_a(x) intersect the x-axis?

At x = a

At x = 1

At x = 0

At x = -1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph of a logarithmic function when a negative sign is placed in front of it?

It shifts up

It flips over the y-axis

It shifts down

It flips over the x-axis

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If y = -log_a(x), where does the graph intersect the x-axis?

At x = 0

At x = 1

At x = -1

At x = a

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of adding a constant to a logarithmic function?

It lowers the graph vertically

It raises the graph vertically

It shifts the graph right

It shifts the graph left

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a constant of 2 is added to y = log_a(x), what is the new y-value when x = 1?

0

3

1

2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does multiplying a logarithmic function by a factor affect its graph?

It compresses the graph

It shifts the graph right

It shifts the graph left

It stretches the graph

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