Question

use the function below to complete the table and sketch the graph. then answer the questions that follow. 1. $f(x)=2x$ parent function: domain: range:

Explanation:

Step1: Find y - values for given x - values

For \(x=-1\), substitute into \(y = f(x)=2x\), so \(y=2\times(-1)=-2\).
For \(x = 0\), \(y=2\times0 = 0\).
For \(x = 1\), \(y=2\times1=2\).
For \(x = 2\), \(y=2\times2 = 4\).
For \(x = 3\), \(y=2\times3=6\).

Step2: Determine the domain

The set of all x - values used is \(\{-1,0,1,2,3\}\), so the domain is \(\{-1,0,1,2,3\}\).

Step3: Determine the range

The set of all y - values obtained is \(\{-2,0,2,4,6\}\), so the range is \(\{-2,0,2,4,6\}\).

Answer:

Domain: \(\{-1,0,1,2,3\}\)
Range: \(\{-2,0,2,4,6\}\)