Linear vs Non-Linear and Function vs Not a Function Review

What is a key characteristic of a linear function when represented on a graph?

• It forms a straight line.

• It forms a curved line.

• It forms a circular shape.

• It forms a zigzag pattern.

In a table, what indicates that a function is linear?

• The values are all negative.

• The rate of change is constant.

• The values are all positive.

• The values are all zero.

Why is the graph of an oval considered non-linear?

• Because it is a zigzag pattern.

• Because it is a straight line.

• Because it is not a straight line.

• Because it is a circular shape.

What is the slope of a linear function if the change in y is 6 and the change in x is 2?

• 4

• 3

• 2

• 1

Which of the following exponents indicates a non-linear equation?

• 1

• None of the above

• 2

• 0

Why is an equation with a variable in the denominator considered non-linear?

• Because it has an exponent of one.

• Because it has an exponent of zero.

• Because it has a variable in the denominator.

• Because it has a constant rate of change.

What is the fastest way to determine if a set of ordered pairs represents a function?

• Check if the outputs are different.

• Check if the inputs are different.

• Check if the inputs are the same.

• Check if the outputs are the same.

What does the vertical line test determine?

• If a graph represents a non-function.

• If a graph represents a function.

• If a graph is non-linear.

• If a graph is linear.

Why is a set of ordered pairs with the same input but different outputs not a function?

• Because it passes the vertical line test.

• Because it has a constant rate of change.

• Because it has different inputs.

• Because it fails the vertical line test.

What does it mean if a vertical line touches a graph at more than one point?

• The graph is non-linear.

• The graph represents a function.

• The graph represents a non-function.

• The graph is linear.