Exponential Function Transformations

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form y = a * b^x, where a is a constant, b is the base (a positive real number), and x is the exponent.

Front

What is the parent function of exponential functions?

Back

The parent function of exponential functions is y = b^x, where b > 0 and b ≠ 1.

Tags

CCSS.HSF-IF.C.7E

Front

What does it mean to reflect a function about the x-axis?

Back

Reflecting a function about the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Tags

CCSS.HSF.BF.B.3

Front

What is a horizontal translation in the context of functions?

Back

A horizontal translation shifts the graph of a function left or right along the x-axis.

Front

What is a vertical translation in the context of functions?

Back

A vertical translation shifts the graph of a function up or down along the y-axis.

Front

What does it mean to translate a function right 3 units?

Back

Translating a function right 3 units means replacing x with (x - 3) in the function's equation.

Front

What does it mean to translate a function left 2 units?

Back

Translating a function left 2 units means replacing x with (x + 2) in the function's equation.

Front

What is the effect of a negative coefficient in an exponential function?

Back

A negative coefficient reflects the graph of the function across the x-axis.

Tags

CCSS.HSF-IF.C.7E

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers, (-∞, ∞).

Front

What is the range of an exponential function with a positive base?

Back

The range of an exponential function with a positive base is (0, ∞).

Tags

CCSS.HSF-IF.C.7E