Solutions

Problem Set 5

Functions

In each case, state the function in a piecewise manner, then graph it

a) f(x) = 3|x-7| + 2 f(x) = 3x-19 for x> 7 and -3x + 23 for x ≤ 7

vertex is at (7,2)

b) f(x) = -|x+4| f(x) = -x - 4 for x ≥ -4 and x + 4 for x < -4

c) f(x) = x + |x| + 8 f(x) = 2x + 8 for x > 0 and 8 for x ≤ 0

d) g(x) = -|x| + 9 g(x) = -x + 9 for x > 0 and x + 9 for x ≤ 0