Understanding Function Equivalence

Understanding Function Equivalence

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Hard

Created by

Ethan Morris

FREE Resource

The video tutorial addresses a challenge problem where the goal is to determine when f(x) equals f(-5x). The instructor explains the concept of inputs and uses a graph to identify points where the function values are equal. By analyzing the graph, it is found that f(4) gives the same result as f(-5), leading to the conclusion that these are the points of interest in the problem.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal of the challenge problem discussed in the video?

To calculate the derivative of f(x)

To determine the value of f(x) at x = 0

To find when f(x) equals f(-5x)

To solve for x in a quadratic equation

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of the problem, what is the value of x that is initially considered?

x = -5

x = 0

x = 10

x = 5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What y-value is obtained when x is -5 on the graph?

y = 10

y = -5

y = 0

y = 4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which other x-value gives the same y-value as when x is -5?

x = 10

x = -4

x = 4

x = 0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What conclusion is reached regarding f(4) and f(-5)?

f(4) and f(-5) are unrelated

f(4) equals f(-5)

f(4) is less than f(-5)

f(4) is greater than f(-5)