F(x)=-3x+5 y intercept of f
2 answers:
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Given:
The function is
It defined on the interval -8 ≤ x ≤ 8.
To find:
The intervals on which the function is increasing and the interval on which decreasing.
Step-by-step explanation:
We have,
Differentiate with respect to x.
For turning point f'(x)=0.
Now, 0 divides the interval -8 ≤ x ≤ 8 in two parts [-8,0] and [0,8]
For interval [-8,0], f'(x)>0, it means increasing.
For interval [0,8], f'(x)<0, it means decreasing.
Therefore, the function is increasing on the interval [-8,0] and decreasing on the interval [0,8].
Answer:
<em>(a) 40 milligrams</em>
<em>(b) 1.21 milligrams</em>
Step-by-step explanation:
<u>Exponential Function</u>
It's commonly used to model real situations in life, like this one proposed in the question where the number of milligrams of a drug D(h) in a patient's bloodstream h hours after the drug is injected is modeled by the following function.
(a) The initial amount injected to the patient can be found when h=0
Initial amount: 40 milligrams
(b) Let's plug h=7
D(7) =40e^{-0.5(7)}=40e^{-3.5}=1.21
The amount in the bloodstream after 7 hours is 1.21 milligrams