Hotmath Practice Problems

The graph of an exponential function of the form y = ab^x with the given base passes through the given point. Write the equation of the function.

Base 0.3, (3, 0.108)

The graph of an exponential function of the form y = ab^x, with base b = 4, passes through the point (5, 128). Find the equation.

Find a graph that passes through the points (1,5), (2,10) and is of the form

y = ab^x.

Find the equation of a function whose graph passes through the points

and is of the form y = ab^x.

Find the equation of a function whose graph passes through the points (3, 1), (9, 6) and is of the form

y = ax^b.

Find the equation of a function whose graph passes through the points (1.3, 11.2), (9.9, 21.4) and is of the form

y = ax^b.

Use the given graph and equations to arrive at a model for the population of the U.S. between 1870 and 1910, for which the zero point is 1880.

The population P (in millions) is given by:

(b) Also predict the population of U.S. in 1910.

The graph of an exponential function of the form y = ab^x with the given base passes through the given point. Write the equation of the function.

Base 0.3, (3, 0.108)

The graph of an exponential function of the form y = ab^x, with base b = 4, passes through the point (5, 128). Find the equation.

Find a graph that passes through the points (1,5), (2,10) and is of the form

y = ab^x.

Find the equation of a function whose graph passes through the points

and is of the form y = ab^x.

Find the equation of a function whose graph passes through the points (3, 1), (9, 6) and is of the form

y = ax^b.

Find the equation of a function whose graph passes through the points (1.3, 11.2), (9.9, 21.4) and is of the form

y = ax^b.

Use the given graph and equations to arrive at a model for the population of the U.S. between 1870 and 1910, for which the zero point is 1880.

The population P (in millions) is given by:

(b) Also predict the population of U.S. in 1910.