Calculus
posted by Michelle .
The following information is given,
f(x) = 2+x x<(less than or equal to) 3
f(x) = x^2 x > 3 , x < 1
f(x) = 6 1 < (less than or equal to) x
I graphed it, but i don't know how to find the domain and range.

The domain is the allowed values of x (excluding the non allowed).
The range is the value of f(x), which you compute from x.
I will be happy to critique your thinking. 
for f(x) = 2+x : Domain: (negative infinity to 3]
Range: (infinity to 1]
f(x) = x^2 : Domain: (3,1)
Range: (9,1)
f(x) = 6 : Domain: [3,1]
Range: [6]
i don't know how to put them all together though. is this right? 
on the second, the domain does not include 1 nor 3, you have to be careful on the nonincluded points. Same on the range, you can list it as 9e,1+e where e is epsilion.
For an all together ,
domain: neginf to +inf
range: neginf to 9, excluding 1+e to 1 (check that).
There is an assortment of the ways you can describe this. 
That assortment could include notations such as set builder and interval.
Respond to this Question
Similar Questions

Math/Calculus
Find k so that the following function is continuous on any interval: f(x)= kx 0 (less than or equal to) x (less than) 2 3x^2 2 (less than or equal to x) i know the answer is 12 but i don't know how to arrive at that. could you please … 
stats
Continuous Random Variable, I Let X be a random number between 0 and 1 produced by the idealized uniform random number generator described. Find the following probabilities: a.P(0less than or equal to X less than or equal to 0.4) b.P(0.4 … 
ap stats
Continuous Random Variable, I Let X be a random number between 0 and 1 produced by the idealized uniform random number generator described. Find the following probabilities: a.P(0less than or equal to X less than or equal to 0.4) b.P(0.4 … 
Statistics
Let Y be a random number between 0 and 1 generated by an idealized random number generator. Find the following probabilities: A. P (0 less than equal to Y less than equal to .6) =? 
random variables
For the standard normal random variable Z, compute the following probabilities. For the following problems, use four decimal places. 16. P (0 less than or equal to Z less than or equal .9) 17. P (1.3 less than or equal to Z less than … 
Calculus
Consider the function f(x)=6xcos(x)+5 on the interval 0 is less than or equal to x, and x is less than or equal to 1. The Intermediate Value Theorem guarantees that there is a value c such that f(c)=k for which values of c and k? 
calculus
Consider the function f(x)=65x−cos(x)+2 on the interval 0 less than or equal to x less than or equal to 1. The Intermediate Value Theorem guarantees that there is a value c such that f(c)=k for which values of c and k? 
math
State the null hypothesis, Ho, and the alternative hypothesis, Ha, that would be used to test the following statements. (a) The linear correlation coefficient is positive. Ho: ñ Select not equal to equal to greater than less … 
algebra
graph the following function on the set of axes below. f(x) = lxl, 3 less than or equal to x less than 1 and 4, 1 less than or equal to x less than or equal to 8 
math
7. The tennis team is selling key chains as a fundraiser. If its goal is to raise is at least 180, how many key chains must it sell at $2.25 each to meet that goal?