Examine the functions below. Which statement is true?

Equation 1: 4x + 5

Equation 2: 4x2 + 5

Equation 2 is nonlinear; Equation 1 is linear.

For both functions, the value of the output increases as x increases from - 1 to 1.

Both functions have a constant slope of 4.

The rate of change for Equation 1 is always greater than the rate of change of Equation 2.

Question

Kimberly

Mathematics

9 March, 16:49

Examine the functions below. Which statement is true?

Equation 1: 4x + 5

Equation 2: 4x2 + 5

Equation 2 is nonlinear; Equation 1 is linear.

For both functions, the value of the output increases as x increases from - 1 to 1.

Both functions have a constant slope of 4.

The rate of change for Equation 1 is always greater than the rate of change of Equation 2.

+2

Answers (1)

Know the Answer?

Jane Bentley · Answer 1

Equation 2 is non-linear, Equation 1 is linear.

Step-by-step explanation:

A linear equation is an equation with a constant gradient and can be expressed in the form y = mx + c. Hence Equation 1 Satisfies this as it is in that form and has a constant gradient of 4. Equation 2 is not in the form y = mx + c since there is a square and hence its non-linear.