In Exercises 27–38, evaluate each function at the given values of...

Question

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. h(x) = x^4 - x²+1

b. h (-1)

Accepted Answer

Hello today we're going to evaluate the function with our given input value. So the function is K. Of X. Is equal to X squared plus eight X plus 12. And we are told to evaluate this for the function K of negative four. Now what this means is we're going to take our input value negative four and we're going to input that to our function K. Of X. And essentially what that's gonna do is replace every X in the current function with our new input value. So Kay of -4 is going to equal to negative four squared Plus eight times negative four plus 12. And all we need to do is go ahead and simplify this while negative four squared is going to give us positive 16 and eight times negative four is going to give us negative 32 then we have plus 12 from the last coefficient and so 16 minus 30 to plus is going to give us the value of negative four. So the function K of negative four is equal to negative four. And this is going to be our solution. And that also means that the answer to this problem is going to be B. So I hope this video helps you in understanding how to evaluate this function and I'll go ahead and see you all in the next video

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. h(x) = x^4 - x²+1 b. h (-1)

Key Concepts

Function Evaluation

Polynomial Functions

Simplification of Expressions

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