Question
If the number path is given by the function such that
Start with x.
Subtract 3.
Multiply by – 2.
Add 5.
Find the function and f(1).
Hint:
We are given steps to write a function. We have to write the function and find the value of f(1). A function is relation between two sets. We have the value of input. Using the function, we will find the value of output.
The correct answer is:
We will follow the given steps to write the function.
Step 1: Start with x.
x
Step 2: Subtract 3
x - 3
Step 3: Multiply by -2
-2(x - 3)
Step 4: Add 5
-2(x - 3) + 5
The function becomes f(x) = -2(x - 3) + 5
We have the value of function and input. We have to find f(1) i.e. output for the value of x = 1.
We will substitute the value of x = 1 in given function.
f(x) = -2(1 - 3) + 5
f(1) = -2(-2) + 5
= 4 + 5
= 9
So, the value of given function for f(1) is 9.
For such questions, we should know the concept of function.
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