Linear Function Characteristics

Is this function linear or non linear?

• Linear

• Non Linear

Determine the domain

• All real numbers

• (-∞, 6]

• [-6, 6]

As x → -∞, Y → ______?

• ∞

• -∞

• Neither

• Both -∞  and ∞

Tags

CCSS.HSF-IF.C.7A

Write the equation of the line.

• y = -1/3x - 2

• y = 1/3x - 2

• y = 3x - 2

• y = -3x - 2

Classify the following function: y = 50 + 20x

• exponential growth

• exponential decay

• linear with positive slope

• linear with negative slope

A function is a linear function if it ​ (a)   .

• has a constant rate of change

• has a y-intercept

• has a x-intercept

• passes the vertical line test

Tags

CCSS.HSF-LE.A.1B

Linear function k has a zero of -2 and a y-intercept of 6. Which graph best represents k?

• graph a

• graph b

• graph c

• graph d

• Domain: All Real Numbers

  [-∞ < x < ∞]

• Range: All Real Numbers

  [-∞ < y < ∞]

• y-intercept: (5, 0)

• x-intercept: (7.5, 0)

Why is this function linear?

• This is a linear function because the y-intercept is (0,8)

• This is a linear function because it has a constant rate of change.

• This is a linear function because it does not have a constant rate of change.

• This is a linear function because the slope is -1

Which is always a characteristic of the graph of a linear function?

• The graph curves.

• The graph intercepts the x-axis

• The graph is a straight line.

• The graph is entirely above the x-axis.