Respuesta :
The function of x f(x) is just a fancy way of saying y=...
So, y=2x-5
Now plug in what x should be to the equation:
y=2(-2) -5
y= -4-5
y=-9
y= 2(-1)-5
y= -2-5
y= -7
y= 2(0)-5
y= 0-5
y= -5
y= 2(1) -5
y= 2-5
y= -3
y= 2(2)-5
y= 4-5
y= -1
x f(x)
-2 -9
-1 -7
0 -5
1 -3
2 -1
So, y=2x-5
Now plug in what x should be to the equation:
y=2(-2) -5
y= -4-5
y=-9
y= 2(-1)-5
y= -2-5
y= -7
y= 2(0)-5
y= 0-5
y= -5
y= 2(1) -5
y= 2-5
y= -3
y= 2(2)-5
y= 4-5
y= -1
x f(x)
-2 -9
-1 -7
0 -5
1 -3
2 -1
Answer: The required filled up blanks are
x -2 -1 0 1 2
f(x) 12 7 2 -3 -8
Step-by-step explanation: We are given to use the function f(x)=2-5x to fill up the following gaps :
x -2 -1 0 1 2
f(x) ? ? ? ? ?
We will be substituting the value of x in the expression for f(x) to find the required values.
We have
[tex]f(-2)=2-5\times(-2)=2+10=12,\\\\\\f(-1)=2-5\times(-1)=2+5=7,\\\\\\f(0)=2-5\times0=2,\\\\\\f(1)=2-5\times1=-3,\\\\\\f(2)=2-5\times2=-8.[/tex]
Thus, the required filled up blanks are
x -2 -1 0 1 2
f(x) 12 7 2 -3 -8