Given are the functions and .
Rewrite both function rules into the form . Which transformations do you need to apply to the graphs of the corresponding basic functions to obtain the graphs of and ?
Solve algebraically:
Solve: . Round the answer to two decimals.
What values can have for ?
The line intersects the graph of , but not the graph of . Compute .
The line intersects the graph of in the point and the graph of in the point . Compute the exact length of the line segment .
The line intersects the graph of in the point and the graph of in the point . Compute the length of the line segment and round the answer to three decimals.
Solve the following equations and inequalities. Simplify the answer as much as possible and then round the answer to two decimals.
Solve algebraically:
Solve the following equations and inequalities algebraically:
If possible, solve algebraically. Otherwise, give an approximation in two decimals.
A patient is given medication through a drip. The formula
gives the amount of the medication in mg in the patients blood after minutes.
How can you tell from the formula that the graph of is increasing?
What is the equation of the asymptote of the graph of ?
Explain that does not grow exponentially.
After how many (whole) minutes has % of the maximum amount of medication entered the blood?