Question

Select the ordered pair that represents a solution to each function below.

1: f(x)= x^2+5
a: (-2,-17)
b: (-2,1)
c: (-2,8)
d: (-2,4)
e: (-2,-1)
f: (-2,9)

2: f(x)= -x +6
(same options for answers)
3: f(x)= x=6
4: f(x)= x^3-9
5: f(x)= -x^3-9

Answer 1

1. (-2,1)

2.(-2,9)

3.(-2,8)

4.(-2,4)

5.(-2,-17)

6.(-2,-1)

Answer 2

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

`f(x)=x^2+5.`

If x = - 2, then we have

`f(x)=(-2)^2+5=4+5=9.`

So, (f) (-2, 9) is the correct option.

(2) The second function is

`f(x)=-x+6.`

If x = - 2, then we have

`f(x)=-(-2)+6=2+6=8.`

So, (c) (-2, 8) is the correct option.

(3) The third function is

`f(x)=x+6.`

If x = - 2, then we have

`f(x)=-2+6=4.`

So, (d) (-2, 4) is the correct option.

(4) The fourth function is

`f(x)=x^3-9.`

If x = - 2, then we have

`f(x)=(-2)^3-9=-8-9=-17.`

So, (a) (-2, -17) is the correct option.

(5) The fifth function is

`f(x)=-x^3-9.`

If x = - 2, then we have

`f(x)=-(-2)^3-9=8-9=-1.`

So, (e) (-2, -1) is the correct option.

Hence solved.