In a paragraph, explain what the domain and range is for the function f(x) = x2 + 4x - 21.

Domain: Anything at all. All numbers and sub-divisions of a number line. - ∞ < x < ∞

The range is much harder. You could complete the square to get the range, which I will do after we get the answer. The simplest way to get the smallest part of the range is to graph the quadratic. The lowest point is at (-2, -25) so the range is

Range: -25 ≤ y < ∞

Completing the square.

y = x^2 + 4x - 21

y = (x^2 + 4x) - 21

y = (x^2 + 4x + (4/2)^2 ) - 21 - (4/2)^2

y = (x^2 + 4x + 4) - 21 - 4

y = (x + 2)^2 - 25

The minimum point is (- 2,-25) just as the graph predicted.

the amount you'd have after the work is $1.55

step-by-step explanation:

you subtract 95% from $31.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,