Exploring Linear and Nonlinear Functions

What is a key characteristic of all linear functions?

• They have a constant rate of change.

• They form a curved line when graphed.

• They cannot be represented by an equation.

• They have varying rates of change.

In a table, if the x-values increase by 2 and the y-values decrease by 15 consistently, what type of function is represented?

• Nonlinear

• Linear

• Quadratic

• Exponential

If the x-values in a table increase by 3 and the y-values increase by different amounts each time, what type of function is it?

• Linear

• Nonlinear

• Constant

• Logarithmic

What does a curved line on a graph indicate about the function?

• It is linear.

• It is nonlinear.

• It has a constant rate of change.

• It is undefined.

Which of the following graphs represents a linear function?

• A curved line

• A straight line

• A parabolic curve

• A zigzag line

What form can the equation of a linear function be written in?

• y = ax^2 + bx + c

• y = log(x)

• y = a^x

• y = mx + b

If an equation has x in the denominator, what type of function is it?

• Quadratic

• Nonlinear

• Linear

• Exponential

Which of the following equations represents a nonlinear function?

• y = x/5

• y = x + 4

• y = 2x + 3

• y = 2x^3 + 1

How can you rewrite the equation y = x/5 to show it is linear?

• y = 5x

• y = x^5

• y = 5/x

• y = 1/5x

What should you do if you need further clarification on linear and nonlinear functions?

• Rewatch the video

• All of the above

• Read examples in the book

• Watch personal tutor videos online