# alg 1

posted by .

Identify the domain and range of each function:

y = 4x^2 - 3

I have no idea how to find the range and domain. Would you please explain in detail how I can determine the domain and range in the quadratic problems?

• alg 1 -

surely your class text has a discussion of the topic, and examples.

the domain is the set of values for which the function is defined. For all polynomials, that would be all real numbers. There is no value of x for which you cannot determine a value for y: just take 4x^2-3!

For the range, it's the set of values for y which can be produced by applying the function to x. Note that for 4x^2-3, x^2 is always positive, and is zero only for x=0. Thus, the minimum value for y is -3. Pick any x you want, and you will always get a value greater than -3. And, the; larger x gets, the larger y gets. So, the range is all reals at least -3: y>=-3.

an excellent graphing resource is

http://rechneronline.de/function-graphs/

Just enter your function and you can see what it looks like.

• alg 1 -

## Similar Questions

1. ### calcius

Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain: {1, …
2. ### Calculus

I'm doing graphs/domain/range of basic functions. I have three questions: How do I find the domain and range of a function?
3. ### Trigonometry

In this problem, you will describe in detail how we arrive at the accepted definition of the function y= Arccsc(x) a) Sketch the cosecant function over the interval (-2pi, 2pi) i can do that b) This function is not one to one - please …
4. ### Algebra (Last Question)

I have - to graph each relation - decide if it is a function - state the domain and the range. 1) {(2,3),(4,-3),(5,1),(-1,3)} how would I decide if something is a function in general?
5. ### Math

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function?
6. ### math (2nd Try)

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function?
7. ### precalculus check immediately

suppoe f is a function with domain [1,3]and range[2,5]?
8. ### Math

HELP PLEASE!!! I'm having some trouble with this question on my Maths hw. Any help is appreciated:) Identify the domain and range of the function. y=-0.25x^2 1. domain: (-oo, 0] range: (-oo, oo) 2. domain: (-oo, oo) range: (-oo, 0] …
9. ### Math

What are the domain and range of the function {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}?
10. ### Math (Domain and range)

Evaluate the function f(x)={9x+5, x<0 {9x+6, x>(or equal to)0 Determine its domain and range using interval notation?

More Similar Questions