# alg 1

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?

1. 👍 0
2. 👎 0
3. 👁 261
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.

1. 👍 0
2. 👎 0
posted by Steve

1. 👍 0
2. 👎 0
posted by rich

## Similar Questions

1. ### 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,

asked by Amy on January 5, 2015
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? (more preferably range...I'm okay but shaky on domain) Ex: f(x)=1/(x^2) Also, how do you write the domain

asked by Anonymous on September 1, 2009
3. ### math

identify the ff properties in the given quadratic equations: a.Vertex b. axis of symmetry c. Domain d. Range e direction of graph 1.f(x)=x2-5x+14

asked by kathleen on July 25, 2010
4. ### Algebra

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/

asked by GummyBears on October 19, 2015
5. ### Algebra plz help

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/

asked by GummyBears on October 20, 2015

Algebra 2 There is a graphs of the sequence f(n)=2n-3 and a graph of the function f(x)=2x-3 What difference exist between the two graphs? What accounts for the differences between the graphs in terms of domain and range? Help

asked by Brenda on May 6, 2016
7. ### math

Bronze is an alloy or mixture of the metals copper and tin. The properties of bronze depends on the percentage of copper in the mix. A chemist decides to study the properties of a given alloy of bronze as the proportion of copper

asked by pizza on January 28, 2015
8. ### algebra

The graph of a quadratic function with vertex (3,-1). Find the range and the domain. write the range and domain using interval notation.

asked by Kevin on October 2, 2019