Thursday

March 5, 2015

March 5, 2015

Posted by **Kendra** on Sunday, March 18, 2012 at 10:01pm.

Let the f function be defined by f(x) = the square root of x + 1 for -1 is less than or equal to x less than or equal to 3.

And 4 - x for 3 is less than x less than or equal to 5

I don't know where to start. Thanks in advance.

- Algebra 2 -
**Steve**, Monday, March 19, 2012 at 1:12pmwe have:

f(x) =

{√(x+1) for -1 <= x <= 3

{4-x for 3 < x <= 5

domain:

square root is only defined for positive values. So, we need x+1 >= 0, or x >= -1. 4-x is defined for all real x.

So, domain is [-1,5]

range:

for -1 <= x <= 3, 0 <= f(x) <= 2

for 3 < x <= 5, -1 <= f(x) < 1

so, the range is [-1,2]

f(3) = √(3+1) = √4 = 2

**Answer this Question**

**Related Questions**

Algebra 2 - Hi, I need help finding the domain and range of the Quadratic Model ...

MAth - how do i find the domain and range of equations? example: f(x)=ab.solute ...

Algebra - 23. The ___ axis represents the independent variable. X? 21. Name the ...

Algebra-I'm still stuck - The one-to-one function f is defined by f(x)=(4x-1)/(x...

Math - Need help with domain and range how do you find the domain and range of y...

Algebra - Find domain and range of each. {(-1,2) (0,2) (1,3) (2,2)} Domain: {-1,...

Pre-calculus - Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19...

Algebra - Hello again, I am now working on trying to find the relation of x = 1...

math - how do i find the domain and range of equations? example: f(x)=ab.solute ...

math - questions involving domain and range... 1. Find the domain of the ...