SOLUTION: Explain why the function is discontinuous at the given number a . sketch the graph of the function f(x)=(1)/(x+2) a=-2

Algebra ->  Test -> SOLUTION: Explain why the function is discontinuous at the given number a . sketch the graph of the function f(x)=(1)/(x+2) a=-2      Log On


   

Question 987938: Explain why the function is discontinuous at the given number a . sketch the graph of the function
f(x)=(1)/(x+2)
a=-2
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=(1)/(x+2)
a=-2
x=-2

f(-2) is undefined for your function, so no point at x=-2. Instead, sign changes around x=-2, leading to vertical asymptote at x=-2.

graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C1%2F%28x%2B2%29%29