SOLUTION: State Range & Graph Function. f(x)= x^2, -1 ≤ x ≤ 0 I am confused as to how to graph that, I know what the graph of f(x)=x^2 looks like and I under stand that the line

Question 709490: State Range & Graph Function. f(x)= x^2, -1 ≤ x ≤ 0
I am confused as to how to graph that, I know what the graph of f(x)=x^2 looks like and I under stand that the line would start at 0 for x values and go to the left.
What is confusing me is my book shows the graph stopping at y=1 , and states the range is y ∈[0,1)
Can someone explain why it stops at y=1 and what it means to say that the range is y ∈[0,1).
Thanks
Answer by josgarithmetic(39627) (Show Source): You can put this solution on YOUR website!
"Range" is what values the function is, what the set of function values is.

Your example was specified to use x only between -1 and 0, inclusive. If you SQUARE x, the result will be POSITIVE. The domain values were specified as mostly negative, but any real number squared is POSITIVE.

"what it means to say that the range is y ∈[0,1)",
The values for y are elements of the set of real numbers greater than or equal to zero, and less than 1. Again, those are positive values (except for maybe zero) because f(x)=x^2 is positive.
RELATED QUESTIONS
Suppose that the function g is defined on the interval [-2,2) as follows g(x)= -2 (answered by Fombitz)

Use a graph to find the range of the function y=f(x)=x^2−9 on the domain... (answered by fcabanski)

Find the domain and range of the function Let f be the function defined by f(x) = x^2, (answered by rothauserc)

The function f is defined for 0 ≤ x ≤ 360 f(x) = 3sin(2)x-1. i) State the... (answered by lwsshak3)

Could you please help me with this problem? I am given the function f(x)= x^2 + 2x + 6... (answered by solver91311,Theo)

The function f is defined for 0 ≤ x ≤ 360, by {{{f(x) = (a)sin(bx) + c}}}... (answered by lwsshak3)

Hi, I just need to know how to show my work. I graphed it. Graph the piece wise... (answered by Boreal)

I already know the graph of f for -1≤x≤5. Now I need to find the value of 'p' (answered by Theo)

Use a calculator to graph the function. Then, using the graph, give three points on the... (answered by stanbon)

SOLUTION: State Range & Graph Function. f(x)= x^2, -1 &#8804; x &#8804; 0 I am confused as to how to graph that, I know what the graph of f(x)=x^2 looks like and I under stand that the line

SOLUTION: State Range & Graph Function. f(x)= x^2, -1 ≤ x ≤ 0 I am confused as to how to graph that, I know what the graph of f(x)=x^2 looks like and I under stand that the line