Block 2 --- Q16 over Exponential Functions

Front

Evaluate the function f(x)=2(4)^x when x = -2

Back

1/8

Front

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

Back

2

Front

Identify the y-intercept (initial value) in the function f(x)=13(0.27)^x

Back

13

Front

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

Back

4

Front

In an exponential function, what is the most common representation of the variable 'b'?

Back

BASE

Front

What is the general form of an exponential function?

Back

f(x) = a(b)^x, where 'a' is the initial value and 'b' is the base.

Front

What does the base 'b' represent in an exponential function?

Back

The factor by which the function grows or decays.

Front

If f(x) = 3(2)^x, what is the initial value when x = 0?

Back

3

Front

How does changing the base 'b' affect the growth of the function f(x) = a(b)^x?

Back

A larger base results in faster growth.

Front

What is the value of f(1) for the function f(x) = 5(3)^x?

Back

15