Graphing Exponential Functions

Front

What is the range of an exponential function of the form f(x) = a(b^x) where a > 0?

Back

(0, ∞) if a > 0.

Front

What is the initial value of the exponential function f(x) = a(b^x)?

Back

The initial value is 'a'.

Front

What is a horizontal asymptote in the context of exponential functions?

Back

A horizontal line that the graph approaches as x approaches ±∞.

Front

What type of function is represented by f(x) = a(b^x) where b > 1?

Back

Exponential Growth.

Front

What type of function is represented by f(x) = a(b^x) where 0 < b < 1?

Back

Exponential Decay.

Front

How do you identify the horizontal asymptote of the function f(x) = a(b^x) + k?

Back

The horizontal asymptote is y = k.

Front

What does the base 'b' represent in the exponential function f(x) = a(b^x)?

Back

The growth (b > 1) or decay (0 < b < 1) factor.

Front

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

Back

3.

Front

For the function f(x) = 4(0.5^x), what type of function is it?

Back

Exponential Decay.

Front

What is the horizontal asymptote of the function f(x) = 5(3^x) + 2?

Back

y = 2.