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A function f(x) has the following table of values:
Find the value of f(4).
Find the value of f−1(9).
Solve the equation f(x)=3x−1.
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Consider the function f(x)=e√5x−4−2.
Write down
The largest possible domain of f.
The range of f.
Find
f(4).
f−1(e2−2).
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The concentration of a molecule in the bloodstream t hours after a patient swallows a pill can be modeled by
where C(t) is measured in mg/L.
On the axes below sketch the curve of C(t) for the first 2 days after the pill was swallowed. Indicate clearly the coordinates of any axes-intercepts, stationary points, or asymptotes.
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Using your graph from (a), or otherwise:
Write down the range of C.
Find the length of time during which the concentration in the patient's blood stream exceeds 4mg/L.
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