SOLUTION: Which best describes the graph of the function f(x)=4(1.5)^x

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Question 1049327: Which best describes the graph of the function f(x)=4(1.5)^x
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the equation itself is an exponential equation because the unknown value of x is in the exponent.

i would describe the graph as the graph of an exponential equation.

the domain is all real values of x because there is no value of x that does not result in a real value of y.

the range of the function is all real values of y that are greater than 0 because the value of y will never be less than or equal to 0.

why is this so?

when x = 0, the value of the function is y = 4.

when x is positive, the value of the function is greater than 4.

when x is negative, the value of the function is 0 < x < 4.

here's the graph of the equation so you can see for yourself.

$$$

you can also see for yourself by just plugging in values for x and see that the graph conforms to the equation.

when x = -20, the equation becomes y = 4 * 1.5^-26 which is equal to .0012029146 which the graph display rounds to .001.