Determine if a function is power function and what is the constant and power

Determine if a function is power function and what is the constant and power

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

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The video tutorial explores whether a given function is a power function. Initially, it does not appear to be in the correct form, but by applying the rules of exponents, it can be rewritten using negative exponents. This transformation allows the function to fit the form K * X^A, confirming it as a power function. The tutorial concludes by identifying the constant K and the power A, solidifying the understanding of power functions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial question posed by the teacher regarding the expression?

Is this a polynomial function?

Is this a power function?

Is this a linear function?

Is this an exponential function?

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method does the teacher suggest to rewrite the expression?

Using positive exponents

Using fractional exponents

Using negative exponents

Using logarithms

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the form K * X^A, what does the variable X represent?

A coefficient

A base of a logarithm

A constant

A variable raised to a power

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the power A in the expression after rewriting?

2

-2

1

0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of K in the expression K * X^A?

It is the exponent

It is the base

It is the constant

It is the variable