determine if the function shows a linear relationship or an absolute value relationship. then evaluate the function for the indicated value of x.
a. f(x) = |x – 3| – 2; x = –5
b. g(x) = 1.5x; x = 0.2
c. p(x) = |7 – 2x|; x = –3

(a) Absolute value relationship, f(-5)=6

(b) Linear relationship, g(0.2)=0.3

(c) Absolute value relationship, p(-3)=13

Step-by-step explanation:

A modulas function always represents an absolute value relationship.

A polynomial function with degree 1 is always represents a linear function.

(a)

The given function is

It is a modulas function, so it represents an absolute value relationship.

Substitute x=-5 in the given function.

Therefore the value of function at x=-5 is 6.

(b)

The given function is

It is a linear function, so it represents a linear relationship.

Substitute x=0.2 in the given function.

Therefore the value of function at x=0.2 is 0.3.

(c)

The given function is

It is a modulas function, so it represents an absolute value relationship.

Substitute x=-3 in the given function.

Therefore the value of function at x=-3 is 13.