Question

for each function graphed below, determine whether it is linear.
function 1
graph of function 1
linear    not linear
function 2
graph of function 2
linear    not linear

Explanation:

Function 1

Step1: Recall linear function definition

A linear function has a graph that is a straight line (constant slope, linear equation \(y = mx + b\)).

Step2: Analyze Function 1's graph

Function 1's graph has curves (not a straight line), so it fails the linear graph test.

Step1: Recall linear function definition

A linear function's graph is a straight line (constant slope, linear equation \(y = mx + b\)).

Step2: Analyze Function 2's graph

Function 2's graph has curves (not a straight line), so it fails the linear graph test.

Answer:

Not linear (select the "Not linear" option for Function 1)

Function 2