Exponential Graphs 1st period only

Front

What is a transformation in the context of exponential graphs?

Back

A transformation refers to a change in the position or shape of the graph, such as shifting it left, right, up, or down.

Tags

CCSS.HSF-IF.C.7E

Front

What is the horizontal asymptote of the function y = 2^x?

Back

The horizontal asymptote is y = 0.

Tags

CCSS.HSF-IF.C.7D

Front

How do you determine the horizontal asymptote for the function f(x) = 3(2)^(x-4) + 5?

Back

The horizontal asymptote is found by identifying the constant term added to the exponential function, which is y = 5.

Tags

CCSS.HSF-IF.C.7E

Front

What does the equation y = 4(1/2)^x represent in terms of graph behavior?

Back

This equation represents an exponential decay function, where the graph approaches the horizontal asymptote as x increases.

Tags

CCSS.HSF-IF.C.7E

Front

What is the effect of a leftward transformation on the graph of an exponential function?

Back

A leftward transformation shifts the graph to the left by the specified number of units.

Tags

CCSS.HSF-IF.C.7E

Front

What is the significance of the base in an exponential function?

Back

The base determines the rate of growth or decay; a base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Tags

CCSS.HSF-IF.C.8B

Front

How can you identify the vertical asymptote of an exponential function?

Back

Exponential functions do not have vertical asymptotes; they have horizontal asymptotes.

Tags

CCSS.HSF-IF.C.7E

Front

What is the general form of an exponential function?

Back

The general form is y = a(b)^x, where 'a' is a constant, 'b' is the base, and 'x' is the exponent.

Front

What happens to the graph of y = 2^x as x approaches negative infinity?

Back

As x approaches negative infinity, y approaches 0, indicating the horizontal asymptote.

Tags

CCSS.HSF-IF.C.7E

Front

What is the transformation of the graph y = 2^x when it is written as y = 2^(x-3)?

Back

This represents a rightward transformation of 3 units.

Tags

CCSS.HSF.BF.B.3