Question

Please help!

Answer 1

I think it’s b:g(x)=1.5x; x=0.2

Answer 2

Answer:

(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

$f(x)=|x-3|-2$

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

Substitute x=-5 in the given function.

$f(-5)=|-5-3|-2\Rightarrow 8-2=6$

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

(b)

The given function is

$g(x)=1.5x$

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

Substitute x=0.2 in the given function.

$g(0.2)=1.5(0.2)=0.3$

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

(c)

The given function is

$p(x)=|7-2x|$

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

Substitute x=-3 in the given function.

$p(-3)=|7-2(-3)|\Rightarrow |7+6|=13$

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