Consider the function, f (x) = 2x – 1
Use the above function to complete the following table.
Answer:
x f(x)
1 1
0 -1
-1 -3
2 3
Step-by-step explanation:
∵ The given function is f(x) = 2x - 1
∵ The table has the values of x
→ Substitute the values of x in the function to find the values of f(x)
∵ x = 1
→ Replace every x in the function by 1
∴ f(1) = 2(1) - 1
∴ f(1) = 2 - 1
∴ f(1) = 1
∵ x = 0
→ Replace every x in the function by 0
∴ f(0) = 2(0) - 1
∴ f(0) = 0 - 1
∴ f(0) = -1
∵ x = -1
→ Replace every x in the function by -1
∴ f(-1) = 2(-1) - 1
∴ f(-1) = -2 - 1
∴ f(-1) = -3
∵ x = 2
→ Replace every x in the function by 1
∴ f(2) = 2(2) - 1
∴ f(2) = 4 - 1
∴ f(2) = 3
The missing values in the table are 1, -1, -3, 3
x f(x)
1 1
0 -1
-1 -3
2 3
The four needed values for right column of table are: 1, -1, -3, 3
The completed table will look like:
[tex]\begin{center}\begin{tabular}{ c c } x & f(x)\\ 1& 1 \\ 0 & -1\\-1 & -3\\ 2& 3\end{tabular}\end{center}[/tex]
Given function is:
f(x) = 2x - 1
Cases:
1. x = 1
f(1) = 2 - 1 = 1
2. x = 0
f(0) = 0 - 1 = -1
3. x = -1
f(-1) = -2 - 1 = -3
4. x = 2
f(2) = 4 - 1 = 3
Thus the four needed values for right column of table are: 1, -1, -3, 3
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