Is $$y = 2x + 5$$ a linear function?

Yes, $$y = 2x + 5$$ is a linear function because it can be expressed in the form $$y = mx + b$$ .

Is $$y = 4x^2 + 3$$ a linear function?

No, $$y = 4x^2 + 3$$ is not a linear function because the highest power of $$x$$ is 2.

What is the difference between linear and non-linear functions?

Linear functions have a constant rate of change and graph as straight lines, while non-linear functions have varying rates of change and graph as curves.

How do you determine if a function is non-linear?

A function is non-linear if it cannot be expressed in the form $$y = mx + b$$ or if it contains variables raised to a power greater than 1.

What is an example of a non-linear function?

An example of a non-linear function is $$y = 3x^2 + 2$$ , which includes a variable raised to the power of 2.

What does it mean if a function is quadratic?

A quadratic function is a type of non-linear function that can be expressed in the form $$y = ax^2 + bx + c$$ , where $$a$$ , $$b$$ , and $$c$$ are constants.

Can a linear function have a negative slope?

Yes, a linear function can have a negative slope, which indicates that as $$x$$ increases, $$y$$ decreases.

What is the slope-intercept form of a linear equation?

The slope-intercept form of a linear equation is $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

How can you graph a linear function?

To graph a linear function, identify the y-intercept and use the slope to find another point, then draw a straight line through the points.

What is the significance of the coefficients in a linear equation?

The coefficients in a linear equation determine the slope and the position of the line on the graph.

Identifying Linear Functions - Equations Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a linear function?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

2.

FLASHCARD QUESTION

Front

What is the general form of a linear equation?

Back

3.

FLASHCARD QUESTION

Front

How can you identify a linear function from its equation?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

4.

FLASHCARD QUESTION

Front

What does the slope of a linear function represent?

Back

Tags

CCSS.8.EE.B.5

5.

FLASHCARD QUESTION

Front

What is the y-intercept in a linear function?

Back

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.F.A.3

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