SOLUTION: graph the equation f(x) = |x+7|-12 a. Determine the vertex of this graph b. Does this graph open upward or downward? c. Determine the domain of this function. d. Determin

Algebra ->  Rational-functions -> SOLUTION: graph the equation f(x) = |x+7|-12 a. Determine the vertex of this graph b. Does this graph open upward or downward? c. Determine the domain of this function. d. Determin      Log On


   

Question 1071921: graph the equation
f(x) = |x+7|-12
a. Determine the vertex of this graph
b. Does this graph open upward or downward?
c. Determine the domain of this function.
d. Determine the range of this function.
e. Determine the x-values for which the function is increasing.
f. Determine the x-values for which the function is decreasing.



Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Critical value at x=-7.

x less than negative 7,
f%28x%29=-%28x%2B7%29-12
f%28x%29=-x-19

x greater or equal to negative 7,
f%28x%29=x%2B7-12
f%28x%29=x-5

f decreases for x less than negative 7.
f increases for x greater than negative 7.

Range: f%3E=-12

graph%28300%2C300%2C-12%2C8%2C-14%2C8%2Cabs%28x%2B7%29-12%29