Question

Functions f(x) and g(x) are shown below:

f(x)
g(x)
f(x) = −4(x − 6)2 + 3

Courtesy of Texas Instruments


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

Answer 1

Maximum value is found by solving the root of the first derivative. that root is where the maximum value is.

f ' (x) = -8(x - 6) = 0.

So x = 6 and that's the maximum value. f(6) = 3

2cos(2x - π) + 4 is a trig function. The maximum value of cosine function is 1.

So the maximum value would be 2(1) + 4 = 6.