Let ƒ(x) = -2x^2 + 3x -6. Find each of the following. ƒ(-0.5)

Question

Accepted Answer

Welcome back. I am so glad you're here. We are given this function F of B and we're told that it equals negative 100 B squared plus 20 B minus 11 and were asked to evaluate F of negative 0.2. So let's plug that an F of negative 0.2. Will we recall from previous lessons? This means anywhere where A B was in the original function. So we've got this B squared, we've got this B we're now going to replace that with negative 0.2. So we can bring down the negative 100 now it's not B squared, it's negative 0.2 squared plus 20 not times B but times negative 0.2 And still -11. And now it's just a matter of simplifying. So let's start with the exponents. We have negative 0.2 squared. That's going to be 0.04. So we can bring down that's being multiplied by negative 100. It's still plus 20 times negative 0.2 -11. Now we'll do the multiplication negative 100 times 0. equals negative four, 20 times negative 0.2 also equals negative four and then bring down our negative 11. And now it's just a matter of adding and subtracting. So we'll bring down this f of negative 0.2 equals negative four minus four minus 11 equals negative 19. And there is our evaluation. We look at our answer choices for negative 19 and that matches with answer choice D while done. We'll catch you on the next one.

Let ƒ(x) = -2x^2 + 3x -6. Find each of the following. ƒ(-0.5)

Key Concepts

Function Evaluation

Quadratic Functions

Substitution

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