Use the maximum-minimum feature of your graphing calculator to determine the location of the peaks and valleys of f (x )equals 0.2 x cubed plus 0.3 x squared minus 1.2 x plus 0.4. a. find the x-coordinates, if any, at which f has a peak (a maximum). what are these maximum values? b. find the x-coordinates, if any, at which f has a valley (a minimum). what are these minimum values?

  a) maximum of 2.4 at x=-2

  b) minimum of -0.3 at x=1

Step-by-step explanation:

A cubic function that is not monotonic will have one maximum and one minimum. If the leading coefficient is positive (as here), the maximum will have an x-coordinate that is less than that of the minimum.

The graph shows the extrema you're looking for.

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!