You have two exponential functions. one has the formula h(x) = -2 x + 8. the other function, g(x), has the graph shown below.

The correct option is 4.

Step-by-step explanation:

The given function is

The graph of another function g(x) is shown in give figure.

Choose any point from the given intervals and check whether the function g(x) is greater than h(x) or not.

For interval .

Put x=-2 in the given function h(x).

The value of h(x) at x=-2 is 7.75.

From the given graph it is noticed that the value of g(x) at x=-2 is 1.

Since g(x)<h(x) at x=-2, therefore option 1 is incorrect.

For interval and

Put x=0 in the given function h(x).

The value of h(x) at x=0 is 7.

From the given graph it is noticed that the y-intercept of g(x) is 3.

Since g(x)<h(x) at x=0, therefore option 2 and option 3 are incorrect.

For interval .

Put x=2 in the given function h(x).

The value of h(x) at x=2 is 4.

From the given graph it is noticed that the value of g(x) at x=2 is more than 10.

Since g(x)>h(x) at x=2, therefore option 4 is correct.

i am sorry it just submitted an answer but the answer is 365 boys. hopes this

step-by-step explanation:

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d