Question

Compare each of the functions shown below:

Answer 1

Which function has the largest maximum?

Answer 2

g(x) = 3 cos(2x − π) − 1

h(x)

x y
−2 −7
−1 −2
0 1
1 2
2 1
3 −2
4 −7

Answer 3

*The picture above shows f(x)

Answer 4

look at the graph of f(x)
whats the maximum y value it reaches ?

Answer 5

It shoots up to "2" and falls down again, eh ?

Answer 6

Yes, so 2 is the maximum?

Answer 7

Yep !

Answer 8

next look at the table maybe..
whats the maximum y value in the table ?

Answer 9

As in the highest? 2 also?

Answer 10

yes ! what about the maximum value of g(x) ?

Answer 11

I wouldn't know how to find that, but I'm guessing from the pattern, that it's also 2?

Answer 12

g(x) = 3 cos(2x − π) − 1

the max value of cos is +1,
when cos is max the expression evaluates to 3*1-1 = 2

so yes you're right, the maximum value of g(x) is also 2