find the y intercept, the x intercept, the domain and range Graph the following

Question

find the y intercept, the x intercept, the domain and range

Graph the following function. Label any intercepts and asymptotes, State the domain and range of the function. f(x)- log 5(x +2)-2 er A. The vertical asymptote of the function is x= 2 O B. There is no vertical asymptote Find the horizontal asymptote Select the correct choice below and,if necessary, il in the answer box within your choice A. The horizontal asymptote of f is y- B. There is no horizontal asymptote. What is the y-intercept of the function? Select the correct choice below and, if necessary ill in the answer box within your c OA. The y-intercept is (Simplify your answer. Type an ordered pair Round to the nearest tenth as needed) O B. The function has no y-intercept Click to select and enter your answer(s) and then click Check Answer parts remaining

Explanation / Answer

f(X) = log 5 (x+2) - 2

a) y intercept is

y = log 5 ( 0+2) - 2

y intercept is ( 0 , -1.6 )

x intercept is

log 5 (x+2) - 2 = 0

log 5 (x+2) = 2

x+ 2 = 5^2

x = ( 23, 0 )

2) x + 2 > 0

x > -2

domain is ( -2 , infinity )

3 ) range is ( -infinity , + infinity )

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