Compare the two functions, f(x)=−4x+12 and g(x)=(14)x+8, in the following graph. F of x is a linear function that passes through points (0, 12) & (3,0). G of x is an exponential function that passes through (negative 2, 24), (0, 9), & (1, 8.25).

Which statements about the functions are true?

There is more than one correct answer. Select all correct answers.
(options)

The average rate of change for g(x) is constant.
The average rate of change for g(x) over the interval −2 to −1 is faster than the average rate of change for f(x).
The average rate of change for g(x) over the interval −3 to −2 is −12.
The average rate of change for \(f(x)\) over the interval \(-1\) to \(0\) is \(-4\textsf{.}\)
The average rate of change for \(g(x)\) over the interval \(-1\) to \(0\) is \(-3\textsf{.}\)
The average rate of change for \(f(x)\) over the interval \(2\) to \(3\) is faster than the average rate of change for \(g(x)\textsf{.}\)

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

ddd

step-by-step explanation:

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35