Exploring Linear and Nonlinear Functions

What type of graph does a linear function form?

• A parabola

• A circle

• A straight line

• A curve

Which of the following is an example of a linear function?

• f(x) = 2x - 3

• f(x) = 3/x

• f(x) = 3^x

• f(x) = x^2

What type of graph does a non-linear function form?

• A vertical line

• A horizontal line

• A curve

• A straight line

Which of the following is an example of a non-linear function?

• f(x) = x

• f(x) = 2x - 3

• f(x) = x/5

• f(x) = x^2

How can you determine if a function is linear from a table of values?

• Check if there are no repeating x-values

• Check if the y-values are constant

• Check if there is a constant change in both x and y values

• Check if the x-values are constant

What indicates a non-linear function in a table of values?

• Repeating y-values

• Constant change in x-values

• Constant change in y-values

• No repeating x-values

Why is the function y = x^3 + 3 considered non-linear?

• Because x is in the denominator

• Because x is an exponent

• Because x has an exponent other than one

• Because it forms a straight line

Which of the following functions is linear?

• y = x^2

• y = 3/x

• y = 3^x

• y = 2x + 5

In a table, if x-values increase by 1 and y-values increase by 2, what type of function is it?

• Exponential

• Quadratic

• Linear

• Non-linear

If the y-values in a table do not have a constant change, what type of function is it?

• Constant

• Non-linear

• Undefined

• Linear