Question

Identify intervals on which the function is increasing, decreasing, or constant.

g(x) = 2 - (x - 7)^2

Increasing: x < 2; decreasing: x > 2

Increasing: x < -7; decreasing: x > -7

Increasing: x < 7; decreasing: x > 7

Increasing: x > 2; decreasing: x < 2

I graphed this on my calculator and I don't understand.

Answer 1

is this calculus? or pre-calculus?

Answer 2

pre-calc!

Answer 3

your parabola is in the form of p(x) = (x-h)^2 + k

you know it opens downwards and that the vertex is at (7, 2)



can you make any assumptions?

Answer 4

x = 7 gives the maximum value.

it decreases after 7 and it increases up to 2 before 7

Answer 5

Ohh I see. That makes sense!

Answer 6

glad it does :)

Answer 7

Ohh I see. That makes sense!