Question

Let f(x) = 2x³ - 15x² + 24x - 5. Find the following:

a) The domain of f Answer can be an interval or in words

b) The y-intercept Answer must be a point

c) f ^'(x)

d) The critical numbers, if any.

e) The open interval(s) where the function is increasing and the open interval(s) where the function is decreasing. The answer to this question will be accepted in one of two ways:

1) Show the number line with the critical numbers along with the open intervals, the test values (don't need to show plugging test values into function), and state where the number line is + or -.

2) Show the number line with the critical numbers along with the open intervals, evaluate at your test values and state the open intervals where the function is increasing or decreasing.

f) State the relative maximum/relative minimum point, if any. The answer must be an ordered pair. Hence, show the work on obtaining the y-value and state order pair(s) that is are a relative minimum and a relative maximum. If there are no relative extreme points, then state “no relative extreme”.

Answer 1