Given the three functions: f(x)=4(2) g(x)=8x² + 24x , and h(x)= 4x + 8 Label each function as quadratic, linear, or exponential.
f(x)=
g(x)=
h(x)=

f(x)=exponential

g(x)= quadratic

h(x)= linear

Step-by-step explanation:

exponential function

Quadratic function

Linear function

Hi there!

The equation above is an exponential family type.

The equation above is quadratic type.

The last type above is a linear type.

Hence, the answers are:

- "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."