SOLUTION: I am having trouble figuring out how to find the domain , range, horizontal asymptote, intercept coordinates and additional points on the graph for the problem and would appreciat

Question 596338: I am having trouble figuring out how to find the domain , range, horizontal asymptote, intercept coordinates and additional points on the graph for the problem and would appreciate any assistance in figuring it out.

F(x)= log2 (x+1) +2
thanks in advance, and appreciate your time.
-Shae
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
logarithms are not defined for negative arguments, so the domain is all real numbers greater than -1

the range is all real numbers

there is no horizontal asymptote, but there is a vertical asymptote at x = -1
___as the argument of a logarithm approaches zero, the logarithm approaches negative infinity

when x = 0 , F(x) = 2 (y-intercept) ___ log2(0+1) + 2 = 0 + 2 = 2

when x = -3/4 , F(x) = 0 (x-intercept) ___ log2(-3/4 + 1) + 2 = log2(1/4) + 2 = log2(2^-2) + 2 = -2 + 2 = 0

the graph at two different scales, to show intercepts and shape

RELATED QUESTIONS
I hope this is in the right spot. I am having trouble figuring out how to do this from... (answered by Nate)

{{{ Let r(x) = (8x - 8)/(x + 2) }}} Find the intercepts and asymptotes. (If an... (answered by ewatrrr)

I am having trouble figuring out how to solve this problem. Find all real solutions to (answered by ikleyn)

Graph each relation, and state its domain and range: x=-3. I am having a tough time... (answered by jim_thompson5910)

Hi, I am having trouble figuring out how to find the real and imaginary zeros of... (answered by Alan3354)

Find the exact angle theta for the given function value. cot theta= radical 3 I am... (answered by ewatrrr)

I am having trouble figuring out what the slop intercept is for y=1/4x-2 (8 -1) (answered by Alan3354)

I need help figuring out how to find the domain and range of a function in vertex form.... (answered by LinnW,TimothyLamb)

I am having trouble figuring out how to get my complete answer to this equation... (answered by unlockmath)