Asymptotes and Domains of Functions

Asymptotes and Domains of Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers section 8.2 on reciprocal function families, focusing on graphing these functions. It explains the general form of reciprocal functions and the significance of asymptotes. The tutorial includes examples with H and K values as zero, a negative A value, and non-zero H and K values, demonstrating how to graph these functions and determine their domain and range.

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21 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general form of a reciprocal function?

y = a / (x - h) + k

y = ax + h + k

y = a(x - h) + k

y = a(x + h) - k

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a reciprocal function, what role do H and K play?

They are the coefficients of x.

They determine the slope of the graph.

They are constants that do not affect the graph.

They determine the position of the asymptotes.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where does the vertical asymptote occur in a reciprocal function?

At y = 0

At x = 0

At x = h

At y = k

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where does the horizontal asymptote occur in a reciprocal function?

At x = 0

At x = h

At y = 0

At y = k

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the asymptotes when H and K are both zero?

They become undefined.

They shift to x = h and y = k.

They remain at x = 0 and y = 0.

They disappear.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When graphing y = 2/x, which x-values should be avoided?

x = 0

x = 1

x = 2

x = -1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the function y = 2/x?

x > 0

x < 0

All real numbers except x = 0

All real numbers

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