Question

explain how to find the maximum value for each function and determine which function has the largest maximum y-value.

Answer 1

@Grazes @FibonacciChick666 @SolomonZelman @ParthKohli @KingGeorge @Luigi0210

Answer 2

You should recognize a parabola. The quadratic mess can shrink until it reaches zero (0). This makes 3 the maximum of f.

Being familiar with the cosine function, we know it ranges fro -1 to 1. Multiply it by 2 and is ranges from -1 to 2. Add 4 and we get all the way up to six (6).

You just have to think through it.

Answer 3

im confused

Answer 4

Stop being confused and think through it. Reread those descriptions. Look at the equations. Read the descriptions again. Stare at the equations. See it in your mind.

Answer 5

I'm on here to ask for help not to be told to think it through…. i tried and i don't know what to do

Answer 6

would u solve for x?

Answer 7

am i right saying that g(x) has the larger y value??

Answer 8

@tkhunny

Answer 9

You are experiencing a common problem. You want there to be a solution or a concrete process. There isn't. It requires reasoning and logic - and maybe familiarity.

f(x) = -4(x-6)^2 + 3

Do you recognize this as a downward-opening parabola? That will help you solve it. If not, keep thinking.

What are the parts: (x-6)^2 cannot be negative. Right? That will help.
-4(x-6)^2 cannot be positive. This number, when added to 3 cannot result in anything greater than 3. This is an abstract concept. No hard solution.

Do you yet see why the maximum value of f(x) is 3?