IE The graph below, y = p(:c), with a domain of [2, 2] takes the shape of a bell. These types of graphs, known as bell curves, are widely used in...
View the step-by-step solution to:

Question

The graph below, y = p(x), with a domain of [−2, 2] takes the shape of a bell. These types of graphs, known as

bell curves, are widely used in both natural and social sciences. A very popular example is the normal distribution which is used to represent the distribution of random values with a specific mean value and variance given by the graphs local maximum and spread respectively.

1

p(x)

0.8 0.6 0.4 0.2

(a) List function transformations in the correct order which would alter p(x) into a new function q(x) so that its new domain is [0, 1], its local maximum is at x = 0.5 and it's range is [0, 0.8]:

(b) Graph the new transformed function below:

1

q(x)

0.8 0.6 0.4 0.2

−2 −1.5 −1 −0.5

(c) Express the new function q(x) after the transformation: Screen Shot 2019-10-13 at 11.37.08 PM.png

Screen Shot 2019-10-13 at 11.37.08 PM.png

IE The graph below, y = p(:c), with a domain of [—2, 2] takes the shape of a bell. These types
of graphs, known as bell curves, are widely used in both natural and social sciences. A very
popular example is the name! distribution which is used to represent the distribution of random values with a specific mean value and variance given by the graphs local maximum
and spread respectively. —2 —1.5 —1 —0.5 0.5 1 1.5 2 (a) List function transformations in the correct order which would alter p(:c) into a new function q(:c) so that its new domain is [0, 1], its local maximum is at :c = 0.5 and it’s
range is [0, 0.8]: (b) Graph the new transformed function below: 1
9(3) 0.3 0.6 0.4 0.2 —2 —1.5 —1 —0.5 0.5 1 1.5 2 (c) Express the new function q(:c) after the transformation:

Top Answer

a) we need to perform following transformation : first : p ( x ) p ( 4 x ) ... View the full answer

graph (1).jpeg

And : lets sonsides the joven gooph.
10'6
0' 7
- 2
- O'S"
O
we need to transform p( ) such that new
function will hove Domoin Lo, 1] and
load maximum at y = 0 5
Domain of p roj -
[ - 2, 2)...

Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question