A.
linear function

b.
absolute value function

c.
quadratic function

d.
cubic function

A. This is a function because every input maps to only one output.

D. Cubic Function

Step-by-step explanation:

For this mapping to be considered a function it must only have one y-value for each x value. This is the case, and this is what option A describes.

From its shape, we can see that D is a cubic function. Let's look at the shapes of each of the other functions just to be sure.

A. Linear Function

This graph would be a line.

B. Absolute Value Function

This graph would be in a "V" shape

C. Quadratic function

This graph would be in a "U". or parabolic shape

D. Cubic Function

This would have the same basic shape as the one in the graph.

answer for #1 is c

answer for #2 is d

can i get brainliest

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."