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.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.