Answer:
f(-1) = 1
Explanation:
What is a function?
A function is a relation that has a set of inputs which have corresponding outputs.
How function notation is written f(x) = 2x
Where
- f = name of function
- (x) = input of function
- the "x" at 2x = what the function does , in other words where you plug in the input at.
Finding f(-1)
Here we have the given function f(x) = 4x² + 4x + 1
We want to find f(-1) ( or the output when the input is -1 )
To do so we replace all of the "x"'s in the function with the input or -1
So f(-1) = 4x² + 4x + 1
==> replace all x's with "-1"
f(-1) = 4(-1)² + 4(-1) + 1
==> evaluate exponent
f(-1) = 4(1) + 4(-1) + 1
==> multiply 4 and 1
f(-1) = 4 + 4(-1) + 1
==> multiply 4 and -1
f(-1) = 4 - 4 + 1
==> subtract 4 from 4
f(-1) = 1
And we are done!