Learn how to find the value k that makes the function continous

Learn how to find the value k that makes the function continous

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to use a graphical approach to check the continuity of equations by ensuring Y values are equal at a specific X value. It demonstrates solving for K in an equation and graphing the solution to visualize the intersection point. The tutorial concludes by preparing students for more complex problems.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important for Y values to be equal when X is equal to 1?

To find the slope of the line

To check if the graph is linear

To determine the value of K

To ensure the equations are continuous at that point

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of K when solving the equation 3 - 5 = 1 + K?

K = 3

K = -2

K = 2

K = -3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the line described in the graphing section?

1 over 2

2 over 1

1 over 3

3 over 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of adding constraints to the graph?

To find the intersection point

To change the slope of the line

To restrict the graph to relevant sections

To make the graph look more complex

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At which point do the graphs intersect according to the tutorial?

At X = -3, Y = -3

At X = 1, Y = -3

At X = -3, Y = 1

At X = 1, Y = 3