Graphing the parent graph of an exponential equation with base 2

Graphing the parent graph of an exponential equation with base 2

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph the function y = 2^x by creating a table of values. It covers calculating values for positive, zero, and negative exponents, emphasizing the rule of reciprocals for negative exponents. The tutorial concludes with plotting these values to visualize the graph, which resembles a boomerang shape.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 2 raised to the power of 0?

2

Undefined

1

0

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert a negative exponent to a positive one?

Multiply by -1

Subtract 1 from the exponent

Add 1 to the exponent

Use the reciprocal of the base

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of 2 raised to the power of -1?

2

-1/2

1/2

-2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following points would be on the graph of y = 2^x?

(-1, 2)

(1, 2)

(0, 0)

(2, 1)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape does the graph of y = 2^x resemble?

A boomerang

A V-shape

A U-shape

A line