Respuesta :
Answer: The answers are (1). f, (2). c, (3). d, (4). a, (5). e.
Step-by-step explanation: We are given four functions and six options of ordered pairs. We are to select the ordered pair that represents a solution to each of the function.
(1) The first function is
[tex]f(x)=x^2+5.[/tex]
If x = - 2, then we have
[tex]f(x)=(-2)^2+5=4+5=9.[/tex]
So, (f) (-2, 9) is the correct option.
(2) The second function is
[tex]f(x)=-x+6.[/tex]
If x = - 2, then we have
[tex]f(x)=-(-2)+6=2+6=8.[/tex]
So, (c) (-2, 8) is the correct option.
(3) The third function is
[tex]f(x)=x+6.[/tex]
If x = - 2, then we have
[tex]f(x)=-2+6=4.[/tex]
So, (d) (-2, 4) is the correct option.
(4) The fourth function is
[tex]f(x)=x^3-9.[/tex]
If x = - 2, then we have
[tex]f(x)=(-2)^3-9=-8-9=-17.[/tex]
So, (a) (-2, -17) is the correct option.
(5) The fifth function is
[tex]f(x)=-x^3-9.[/tex]
If x = - 2, then we have
[tex]f(x)=-(-2)^3-9=8-9=-1.[/tex]
So, (e) (-2, -1) is the correct option.
Hence solved.
