question

Consider the exponential function f(x) = 2(3x) and its graph.
The initial value of the function is.
The base of the function is.
The function shows exponential

answer

2
3
growth

question

Consider the function f(x) = (6)x. What is the value of the growth factor of the function?

answer

6

question

Which is a stretch of an exponential decay function?

answer

C

question

Which point is on the graph of the function
f(x) = (2)x?

answer

D

question

Consider the table representing an exponential function.
The equation for this function is
f(x) = ()x.

answer

8
0.5

question

Which statements are true about the graph? Check all that apply.

answer

1 4

question

Explain why the initial value of any function of the form f(x) = a(bx) is equal to a.

answer

In the function f(x) = a(b^x), the initial value is always a. This is because a is independent on x. So, when x changes, b^x will change as well but a will remain the same. For example, let a = 2, b = 3, and x = 0: f(0) = 2 * 3^0 = 2 * 1. If x = 1, then f(1) = 2 * 3^1 = 2 * 3. If x = 2, then f(2) = 2 * 3^2 = 2 * 9, etc. As you can notice a = 2 remain unchanged as the initial value, because a is independent on x change.

question

Fiona started her study of bacteria growth with 1,000 bacteria in a petri dish. After 1 hour, the count was increased to 1,800. After 2 hours, the count was 3,240. After the third hour showed a count of 5,832, Fiona wrote an equation to represent the exponential growth of the bacteria. What exponential growth function did Fiona write?
f(x) =

answer

1000
1.8

question

Dr. Jimenez found that after applying an antibiotic to bacteria, he observed only 90% of the bacteria left in the culture dish each hour. If the initial bacteria count was 100, what was the bacteria count after 5 hours? Round to the nearest whole number.
There were
1.4
β 59 bacteria after 5 hours.

answer

59