Given the function, fx) = x2-3, calculate the average rate of change of the function from x = 1 to x = 3. -2
4
8
-12

The average rate of change is 4.

Step-by-step explanation:

We are given the function:

And we want to find the average rate of change from x = 1 to x = 3.

The average rate of change is synonymous with the slope. So, we can evaluae the endpoints and find the slope between them.

The first endpoint is:

The second endpoint is:

This yields the two poins (1, -2) and (3, 6). The slope between them will be:

Hence, the average rate of change is 4.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

answer: 4 (:

step-by-step explanation: