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Verified Answer :

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

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

\(f(-2)=2-5\times(-2)=2+10=12,\\\\\\f(-1)=2-5\times(-1)=2+5=7,\\\\\\f(0)=2-5\times0=2,\\\\\\f(1)=2-5\times1=-3,\\\\\\f(2)=2-5\times2=-8.\)

Thus, the required filled up blanks are

x            -2             -1             0              1               2

f(x)          12             7             2             -3               -8