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

Question 1049327: Which best describes the graph of the function f(x)=4(1.5)^x
Answer by Theo(13342) (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.

RELATED QUESTIONS
Which of the following best describes the graph of f (x)- {x+4.x≤2}... (answered by jim_thompson5910)

Which of the following describes the graph of {x | x ≤ 1} {x | x ≥ 4}? (answered by MathLover1,ikleyn)

Which best describes the effect on the graph of f(x)=4x+8 if the y-intercept is changed... (answered by checkley71)

which of the following best describes the graph the graph of this system of equations? (answered by josgarithmetic)

Which conic section describes the graph of (x - 2)2/9 + (y + 1)2/4 = 1? (answered by robertb)

graph the function... (answered by drk)

Given the functions f(x) = 1/x-2 + 1 and g(x) = 1/x+5 + 9. Which statement describes... (answered by ikleyn)

Which of the following equations best describes a square root function that is reflected... (answered by Fombitz)

Which of the following equations best describes a square root function that is reflected... (answered by ikleyn)