Exponential Functions (Graphs)

Front

What is the range of the exponential function y = 3^x?

Back

(-∞, 2)

Front

What is the horizontal asymptote of the function y = 3^x?

Back

y = 2

Front

What transformation occurs in the function y = 3^(x+1)?

Back

Horizontal Translation left 1

Front

Which of the following graphs represents exponential growth?

Back

Exponential growth graph shows an increasing curve.

Front

Using the parent function y = 3^x, what does the graph of y = 3^(x-1) look like?

Back

Horizontal shift right one unit.

Front

What is an exponential function?

Back

A function of the form y = a*b^x where b > 0 and b ≠ 1.

Front

What is the base of an exponential function?

Back

The constant 'b' in the function y = a*b^x.

Front

What does a horizontal asymptote represent in an exponential function?

Back

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

Front

What is the effect of a vertical translation on an exponential function?

Back

Shifts the graph up or down without changing its shape.

Front

How does the graph of y = 3^x compare to y = 3^(x-2)?

Back

The graph of y = 3^(x-2) is shifted down 2 units.