Question

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

Explanation:

Function 1

Step1: Recall linear function definition

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

Step2: Analyze Function 1's graph

Function 1's graph is a curve (not a straight line), so it does not satisfy the linear function's graphical property.

Step1: Recall linear function definition

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

Step2: Analyze Function 2's graph

Function 2's graph is a straight line, so it satisfies the linear function's graphical property.

Answer:

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

Function 2