A.2.6 Direct Variation And Function Notation Worksheet printable pdf download

A.2.6 Direct Variation And Function Notation Worksheet

Name

Direct Variation and Function Notation

Date

No. A direct Variation

Does this line represent a Direct Variation?

has a y-Intercept of 0.

Explain your answer.

This line has a y-

Intercept of -2.

Is the relationship between x and y a Direct Variation?

-2

-1

-3

-1.5

1.5

4.5

7.5

yes

Create an equation in Function form for the relationship between x and y described in the table from Question 2.

(x) = 1.5x

What is the Constant of Variation for this relationship: 4x + y = 0

-4

A line passes through the point (0, 3). Can you determine whether the line represents a Direct Variation? How?

All Direct Variations go through the Origin, and one point is always (0, 0). Since this is a straight

line, there can only be one y value for an x value of zero, so the line does not include (0, 0), and is

not a Direct Variation.

(x) = 3x - 1.5

(2.5) = 6

Evaluate this function for x = 2.5:

Graph the function

(x) = 4 - 2x

What is the Constant of Variation for the function f(x) = 4x

Is this a Direct Variation?

A.2.6 Direct Variation And Function Notation Worksheet