Value k that makes the rational piecewise function continuous

Value k that makes the rational piecewise function continuous

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial discusses graph discontinuities, focusing on identifying and classifying them, particularly removable holes. It explains the algebraic process of simplifying expressions to solve for variables and highlights the importance of visualization in understanding graph behavior. The tutorial emphasizes using simplification techniques to make complex problems more manageable.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What issue arises when trying to plug X = 0 into the equation?

The equation becomes a straight line.

The equation results in a complex number.

The equation becomes a quadratic function.

The equation becomes undefined due to zero in the denominator.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the best way to classify discontinuities according to the teacher?

By simplifying the equation.

By memorizing the types of discontinuities.

By using a calculator.

By graphing the equation.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of discontinuity occurs at X = 0 in the given equation?

A continuous point.

A jump discontinuity.

A vertical asymptote.

A removable hole.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the equation Y = (X^2 - X) / X simplify?

It simplifies to Y = X + 1.

It simplifies to Y = X^2.

It simplifies to Y = X.

It simplifies to Y = X - 1.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the teacher suggest using to better understand the equation's graph?

A textbook.

A computer software.

A ruler and paper.

A graphing calculator or phone.

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