Question

mr. richardson math 2 (1st ?). convert factored form to standard form. 10/7/23 name zachary francis period 1. 1) x f(x) 0 -1 1 -1/2 2 0 3 1/2 4 1 what type of function is represented in the table above

Explanation:

Step1: Check for constant - rate of change

Find the differences in \(y\) - values and \(x\) - values. The change in \(x\) values: \(\Delta x=1\) (since \(x\) increases by 1 each time: \(1 - 0=1\), \(2 - 1 = 1\), etc.). The change in \(y\) values: \(\Delta y=-\frac{1}{2}-(-1)=\frac{1}{2}\), \(0-(-\frac{1}{2})=\frac{1}{2}\), \(\frac{1}{2}-0=\frac{1}{2}\), \(1 - \frac{1}{2}=\frac{1}{2}\).

Step2: Determine the function type

Since the rate of change \(\frac{\Delta y}{\Delta x}=\frac{1}{2}\) (a constant value), the function is linear.

Answer:

Linear function