Determine the location and values of the absolute maximumu and minimum for given function f(x)=(-x+2)^4 minimum

for a function f(x), the maximum is defined as:

f(x₀), such that:

f(x₀) ≥ f(x) for all values of x.

and a minimum is defined as:

f(xₐ), such that:

f(xₐ) ≤ f(x) for all values of x.

In this case, we have the function:

f(x) = (-x + 2)^4

The first thing you should see is that the exponent is even, then f(x) is always equal or larger than zero.

Then the smaller value that f(x) can take is zero, and this happens when the argument inside the parentheses is equal to zero:

-x + 2 = 0

2 = x

so the minimum is:

f(2) = (-2 + 2)^4 = 0

For any value different than x = 2, f(x) is larger than zero.

Now, we can also see that, as x increases, f(x) also does increase (if we graph the equations we could see that the graph extends infinitely upwards) then this function does not have an upper limit, thus, the function has not a maximum.

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

salary

step-by-step explanation: