Question

3.4 analyze graphs of functions
question 16 of 16 (1 point) | question attempts: 1 of 3

(first graph section)
○ linear
○ not linear

function 3
(graph of function 3: a wave - like curve)
○ linear
○ not linear

(second graph section)
○ linear
○ not linear (selected for one of them)

function 4
(graph of function 4: a v - shaped graph)
○ linear
○ not linear

Explanation:

Step1: Recall Linear Function Definition

A linear function's graph is a straight line (or a line segment) and has a constant slope. Its equation is of the form \( y = mx + b \), where \( m \) (slope) and \( b \) (y - intercept) are constants.

Step2: Analyze Function 3's Graph

The graph of Function 3 is a curve with multiple peaks and troughs (it looks like a sinusoidal - like wave). It does not represent a straight line, so it does not satisfy the definition of a linear function.

Step3: Analyze Function 4's Graph

The graph of Function 4 is a "V - shaped" graph. A linear function must have a constant slope, but the "V - shaped" graph has two different line segments with different slopes (the slope of the left - hand segment is negative and the slope of the right - hand segment is positive, and they are not the same). So, it also does not satisfy the definition of a linear function.

For Function 3:

Answer:

Not linear
For Function 4: