SOLUTION: A) Sketch the graph of the function. B) based on the apperance of the graph, determing whether the function is even, odd, or neither. C) This function is known as a, ______wise fun

Algebra ->  Functions -> SOLUTION: A) Sketch the graph of the function. B) based on the apperance of the graph, determing whether the function is even, odd, or neither. C) This function is known as a, ______wise fun      Log On


   

Question 189649: A) Sketch the graph of the function. B) based on the apperance of the graph, determing whether the function is even, odd, or neither. C) This function is known as a, ______wise function.
f(x)= 2-x, x< or equal to 0
2,0 < x < or eual to 3
8 -2x, x>3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A) Here's the graph. The red line is the graph of y=2-x, the green line is y=2 and the blue line is y=8-2x.



Note: there is an open circle at (0,2) and (3,2). Also, there's a closed circle at (0,2) and (3,2).

B)
Since there isn't symmetry about the y-axis or the origin, this means that the function is neither even nor odd.


C)

This function is known as a piecewise function