Let f(x) = {√x, 0 ≤ x ≤ 1

{ 1/x, x > 1

(a). Identify any intercepts

(b). Graph the function

(c). Find the domain and range

I'll be able to graph it, I just can't do a or c

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- Apr 17th 2008, 12:28 PMromanianxromoIntercepts, domain and range?
Let f(x) = {√x, 0 ≤ x ≤ 1

{ 1/x, x > 1

(a). Identify any intercepts

(b). Graph the function

(c). Find the domain and range

I'll be able to graph it, I just can't do a or c - Apr 17th 2008, 02:07 PMcolby2152
Intercepts imply intercepting with the x-axis or y-axis.

The function would intercept the y-axis at x = 0 which is for the first piece.

$\displaystyle \sqrt{0} = 0$

It's y-intercept is at x = 0.

It's x-intercept is whenever y = 0. Notice that the x-intercept is the same as the y-intercept.

The domain is all real numbers that can go into the function. The square root cannot take any negative values and the $\displaystyle \frac{1}{x}$ cannot take zero, but it's not even a valid piece of the function in that region, so the domain is simply all non-negative reals. The range is just the same. - Apr 17th 2008, 02:28 PMromanianxromo
Oh, ok. I see.

So then how would I plug that into my TI 84 + to get the graph?

Y1=(X and 0≤x≤1

Y2=(1/x and x > 1

I got a horizontal line at the point (0,1) is that right?