Question

function 1
graph of a line passing through the origin with negative slope
○ linear
○ not linear
function 2
graph of a non - linear curve, symmetric about the origin?
○ linear
○ not linear
function 3
graph of a horizontal line
(options not fully shown)
function 4
graph of a curve, maybe a hyperbola?
(options not fully shown)

Explanation:

Step1: Analyze Function 1

A linear function has a straight - line graph. The graph of Function 1 is a straight line. So we select the "Linear" option for Function 1.

Step2: Analyze Function 2

The graph of Function 2 is a curve (not a straight line). So we select the "Not linear" option for Function 2.

Step3: Analyze Function 3

The graph of Function 3 is a horizontal straight line. A horizontal line is a type of linear function (with a slope of 0). So we select the "Linear" option for Function 3.

Step4: Analyze Function 4

The graph of Function 4 is a curve (not a straight line). So we select the "Not linear" option for Function 4.

Answer:

Function 1: Linear
Function 2: Not linear
Function 3: Linear
Function 4: Not linear