Symmetry and Function Behavior

Symmetry and Function Behavior

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to test for symmetry in equations around the x-axis, y-axis, and origin. It provides step-by-step instructions for each type of symmetry using different equations as examples. The process involves substituting variables and simplifying equations to determine if they match the original, indicating symmetry.

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28 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in testing for symmetry in equations?

Replace all x's with y's

Replace all variables with zero

Replace all y's with negative y's

Replace all numbers with their negatives

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When testing for symmetry around the x-axis, what should you do after replacing y with -y?

Replace x with -x

Multiply the equation by 2

Check if the equation is linear

Simplify the equation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What indicates that an equation is symmetric around the x-axis?

The simplified equation is different from the original

The simplified equation matches the original

The equation has no x terms

The equation has no y terms

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example y^2 = x^5 - 7x, what happens when you replace y with -y?

The equation becomes y^2 = x^5 + 7x

The equation becomes -y^2 = x^5 - 7x

The equation becomes y^2 = -x^5 + 7x

The equation remains y^2 = x^5 - 7x

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of simplifying -y^2?

2y^2

0

-y^2

y^2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in testing for symmetry around the y-axis?

Replace all y's with x's

Replace all x's with negative x's

Replace all numbers with their negatives

Replace all variables with zero

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the cubic equation y = x^3 + 4, what happens when you replace x with -x?

The equation becomes y = -x^3 + 4

The equation becomes y = -x^3 - 4

The equation becomes y = x^3 - 4

The equation remains y = x^3 + 4

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