Given the function f(x) = -2x² + 4x - 7, find f(-4).

Solution:

A relation f from a set A to a set B is said to be a function if every element of set A has one and only one

image in set B.

In other words, no two distinct elements of B have the same preimage.

The given function is

f(x) = -2x² + 4x - 7

We have to find f(-4) which means x = -4

Substituting the values

f(-4) = -2 (-4)² + 4 (-4) - 7

By further calculation

f(-4) = -2 (16) - 16 - 7

f(-4) = -32 - 16 - 7

So we get

f(-4) = -55

Therefore, f(-4) is -55.

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Given the function f(x) = -2x² + 4x - 7, find f(-4).

Summary:

Given the function f(x) = -2x² + 4x - 7, f(-4) is -55.