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
[tex]f(x)=|x-3|-2[/tex]
It is a modulas function, so it represents an absolute value relationship.
Substitute x=-5 in the given function.
[tex]f(-5)=|-5-3|-2\Rightarrow 8-2=6[/tex]
Therefore the value of function at x=-5 is 6.
(b)
The given function is
[tex]g(x)=1.5x[/tex]
It is a linear function, so it represents a linear relationship.
Substitute x=0.2 in the given function.
[tex]g(0.2)=1.5(0.2)=0.3[/tex]
Therefore the value of function at x=0.2 is 0.3.
(c)
The given function is
[tex]p(x)=|7-2x|[/tex]
It is a modulas function, so it represents an absolute value relationship.
Substitute x=-3 in the given function.
[tex]p(-3)=|7-2(-3)|\Rightarrow |7+6|=13[/tex]
Therefore the value of function at x=-3 is 13.
