You can just put that value 5 in place of x and then evaluate the output.
The value of f(5) for the given function is given by:
Option C: -43
How to evaluate functions on a given point?
Use the definition of function to evaluate the function on a given point. Most of the time, in general cases, the function will be algebraic and you just need to replace the input variables with the value of the point you want to evaluate the function on.
How to evaluate f(5)?
Since it is given that
[tex]f(x) = -2x^2 + 2x - 3[/tex]
thus, replace x with 5 everywhere and evaluate the result as:
[tex]f(5) = -2 \times (5)^2 + 2 \times (5) - 3 = -2 \times 25 + 10 - 3 = -50 + 7 = -(50 - 7) = -43\\f(5) = -43[/tex]
Remember that [tex]2x[/tex] is 2 multiplied by [tex]x[/tex], and so as [tex]-2x^2 = -2 \times x^2[/tex]
And [tex]x^2 = x \times x[/tex]
We get,
The value of f(5) for the given function is given by:
Option C: -43
Learn more about evaluating a function here:
https://brainly.com/question/2753269
