SOLUTION: Circle all true statements about f(x)=-1/2*3^(x+1)-2 (x+1) is what 3 is raised to. Answers to choose from: a. The graph is y greater than & equal to 2. b. The graph cross

Algebra ->  Rational-functions -> SOLUTION: Circle all true statements about f(x)=-1/2*3^(x+1)-2 (x+1) is what 3 is raised to. Answers to choose from: a. The graph is y greater than & equal to 2. b. The graph cross      Log On


   

Question 1087101: Circle all true statements about f(x)=-1/2*3^(x+1)-2
(x+1) is what 3 is raised to.
Answers to choose from:
a. The graph is y greater than & equal to 2.
b. The graph crosses the y-axis at -5/2.
c. The growth factor is -3.
d. The domain is all real numbers.
e. The graph has a horizontal asymptote at y=-2.
f. The graph never crosses the x-axis.
So far what I have found is:
The graph never crosses the x-axis & The graph has a horizontal asymptote at y=-2.
Help! I need to find one more answer for this question.
Thank you!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Answers to choose from:

a.is not your answer
b. The graph crosses the y-axis at -5%2F2. -> plug in x=0
y=-%281%2F2%293%5E%280%2B1%29-2+
y=-%281%2F2%293%5E%281%29-2+
y=-%281%2F2%293-2+
y=-%283%2F2%29-4%2F2+
y=-7%2F2+=> so, -5%2F2 is not your answer
c.is not your answer; you have decay
d. The domain is all real numbers.->R+(all real numbers)
e. The graph never crosses the x-axis
f. The graph has a horizontal asymptote at y=-2. -that is correct

+graph%28600%2C+600%2C+-5%2C+5%2C+-10%2C+10%2C+-%281%2F2%293%5E%28x%2B1%29-2+%2C-2%29+