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Finding X-Intercepts of Cubic Graphs

Finding X-Intercepts of Cubic Graphs

Assessment

Interactive Video

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

This video tutorial teaches how to draw cubic graphs, focusing on finding x-intercepts, y-intercepts, turning points, and inflection points. It explains the use of derivatives to find these points and provides a detailed example of calculating x-intercepts using guessing and factorization methods. The tutorial emphasizes the complexity of finding x-intercepts and offers a step-by-step guide to solving them.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a characteristic feature of a cubic graph?

It has two x-intercepts.

It is a straight line.

It turns once.

It usually has three x-intercepts.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the point called where a graph changes from concave down to concave up?

X-intercept

Y-intercept

Turning point

Inflection point

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the y-intercept of a cubic graph?

Find the first derivative

Find the second derivative

Set x to zero

Set y to zero

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding turning points on a cubic graph?

Set the second derivative to zero

Set the first derivative to zero

Set x to zero

Set y to zero

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What makes finding x-intercepts of a cubic graph challenging?

They are always at the origin

They are always imaginary numbers

There are usually three to find

They require solving a linear equation

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step in finding x-intercepts using a calculator?

Use the quadratic formula

Find the second derivative

Set y to zero and guess the first x value

Set x to zero and guess the first y value

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of factorizing the cubic equation?

To find the turning points

To find the x-intercepts

To simplify the equation

To find the y-intercept

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