Consider the parent function,. The parent function was shifted and the new equation is now . Without graphing, did the function shift vertically upward or downward. If so, by how many?

Booster class

Calculus 1

Skill

Transform functions

answer

watching

views

For unlimited access to Homework Help, a Homework+ subscription is required.

You have 0 free answers left.
Get unlimited access to 3.8 million step-by-step answers.

Get unlimited access

Already have an account? Log in

Rozalliene HomigopLv10

13 Jan 2021

Unlock all answers

Get 1 free homework help answer.

Already have an account? Log in

Related questions

If the function is to be shifted upward by units, what would be the new function, ?

Assume that all of the functions are twice differentiable and the second derivatives are never 0.

If f and g are positive, increasing, concave upward functions on I, show that the product function f g is concave upward on I.

(b) Show that part (a) remains true if f and g are both decreasing.

(c) Suppose f is increasing and t is decreasing. Show, by giving three examples, that f g may be concave upward, concave downward, or linear. Why doesn’t the argument in parts (a) and (b) work in this case?

(a)

Given:

Functions f and g are positive, increasing, concave upward functions on I.

Hence,

Now,

Hence, the product function is concave upward.

(b)

When both the functions are decreasing and concave upward

Hence, the product function is concave upward.

(c)

When f is increasing and g is decreasing

can either positive or negative on I, depending on values of on I..

Hence, the product function may be concave upward, concave downward or linear.

ochrearmadillo184

4. For the function 22 - 1 f(0) = 72-4 determine all of the following if they are present: (i) critical points (where f'(x) = 0 or f'(x) does not exist), local maxima and minima, intervals where f(x) is increasing or decreasing; (ii) inflection points and intervals where f(2) is concave upward or downward; (iii) asymptotes (horizontal, vertical). Sketch the graph of y = f(c), giving the (x,y) coordinates for all of the points of interest above. Please make your sketch big enough to see clearly all features of interest. 6(3.x2 + 4) You may use, without demonstrating it, the fact that f"(x) = ? (x2 – 4)3

Weekly leaderboard

Home

Homework Help 3,900,000

Mathematics 240,000