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Fofino [41]
3 years ago
6

If f(x)=x^4+3x^3-x^2+6, find f(-3).

Mathematics
1 answer:
docker41 [41]3 years ago
4 0

Answer:

f(-3) = -3

Step-by-step explanation:

Step 1: f(x) means "f of x" and f(-3) means "f of -3", so you have to replace all the "x" letters in the function with the value -3.

f(x)=x^4+3x^3-x^2+6\\f(-3)=(-3)^4+3(-3)^3-(-3)^2+6

Step 2: Apply the exponents. <em>Make sure you remember to put in the -3 and not just 3.</em>

f(-3)=81+3(-27)-9+6

Step 3: Use BEDMAS rules to complete the calculation.

f(-3)=81-81-9+6

f(-3)=-3

Therefore the answer is f(-3) = -3.

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3 years ago
Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.
il63 [147K]

Answer:

The minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

Step-by-step explanation:

Given function is f(x) = 0.15(x + 1)^2 - 3

We need to find the maximum value or the minimum value for the function.

Now, differentiate f(x) = 0.15(x + 1)^2 - 3  w.r.t x.

f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\

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Now, we will equate f'(x)=0 to find critical point.

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Plug this critical point in to the function f(x) = 0.15(x + 1)^2 - 3  we get,

f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3

Also, f''(x)=0.3 which is positive, We have minimum value.

So, the minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

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