Question

Consider the function y=x + 28.3.

Based on the equation, is the function linear? Explain.
Determine the points on the graph of the function when I is 0, 1, 2, 3, and 4. Show your work.
Do these points support your answer to PartA? Explain.
Jeanne claims that an equation of the form y=x^n + 28.3, where n is a whole number, represents a nonlinear function. Describe all values of n for which Jeanne's claim is true and all values of n for which Jeanne's claim is false. Explain​

Answer 1

For x = 0:

y = 0 + 28.3 = 28.3

So, the point is (0, 28.3).

For x = 1:

y = 1 + 28.3 = 29.3

The point is (1, 29.3).

For x = 2:

y = 2 + 28.3 = 30.3

The point is (2, 30.3).

For x = 3:

y = 3 + 28.3 = 31.3

The point is (3, 31.3).

For x = 4:

y = 4 + 28.3 = 32.3

The point is (4, 32.3).