A2.F.1.c

Graph a square root, cube root, rational, exponential, and logarithmic function, given the equation, using transformations of the parent function including 𝑓(𝑥) + 𝑘; 𝑓(𝑘𝑥); 𝑓(𝑥 + 𝑘); and 𝑘𝑓(𝑥), where 𝑘 is limited to rational values. Use technology to verify transformations of the functions.

Example Problems
The brightness of a distant supernova decreases with time t (in hours) according to

By what factor is the brightness multiplied each hour?
The price of a cryptocurrency follows

where t is the time in hours since tracking began. What percent is added to the price each hour?
An insect population declines with time t (in years) according to

By what factor is the population multiplied each year?
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