Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,267 questions

17,801 answers

1,438 comments

34,103 users

what is the domain range and x and y intercepts of y=x^2+4

0 votes
asked Jan 27, 2016 in ALGEBRA 1 by anonymous

1 Answer

0 votes

Step 1:

The function is image.

(i)

Find the domain of the function.

Domain of the function is values of for which the function is mathematically correct.

The function is a second degree polynomial.

Therefore, domain of the function is set of all values of .

Domain of the function is image.

(ii)

Find the range of the function.

Range of  function is corresponding values of the function for different values of .

Range of the function is image.

Step 2:

(iii)

Find the -intercepts of the function.

Substitute image in the function.

image

image has no real solutions, hence there are no -intercepts.

(iv)

Find the image-intercepts of the function.

Substitute image in the function.

image

Therefore, image intercept is image.

Solution:

(i) Domain of the function is image.

(ii) Range of the function is image.

(iii) No -intercepts.

(iv) image-intercept is image.

answered Jan 28, 2016 by Lucy Mentor
edited Jan 28, 2016 by Lucy

Related questions

...