se the Second Derivative Test to find the location of all local extrema in the interval (-9, 1) for the function given b (x + 1)² f(x) = x + 9 there is more than one local maxima or local minima, write each value of x separated by a comma. If a local maxim cal minima does not occur on the function, enter Ø in the appropriate box. Answer should be exact. rovide your answer below: The local maxima occur at x = The local minima occur at x =

your work. For the function f(x) -x² + 3x, find each of the following. Show ts.) Average rate of change on the interval [-2, -1]. Average rate of change from x = 1 to x = 3. Name one x interval on which the average rate of change is zero. Domain: (3, 4.5) Graph of f(x) On what interval is the function decreasing? Give the entire interval and use interval notation. What are the domain and range of f(x)? Use interval notation. Range::

The function  H gives the height, above the ground, of a point on a spinning wheel. The function A gives the height of a point on a different spinning wheel and is defined by A(t)=1.2H + 3 . Here, t, is time in seconds since the wheels started moving. How does the spinning wheel modeled by function A compare to the wheel for H? Explain how you know.

Consider the function: Answer f(x) = (3x² + 6)² Use the Second Derivative Test to classify the relative extrema, if the test applies. Otherwise, use the First Derivative Test. Keypad Keyboard Shortcuts Write all relative extrema as ordered pairs of the form (x, f(x)). (Note that you will be calculating the values of the relative extrema, as well as finding their locations.) Separate multiple answers with commas. Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used. Relative Maxima: Relative Minima: O No Relative Maximal O No Relative Minimal