Unit 3 Assessment Review: Exponential Domain & Range A.9A

Front

What is the range of an exponential function?

Back

The range of an exponential function is typically all real numbers greater than a certain value, often expressed as y > k, where k is the minimum value of the function.

Front

Define the domain of a function.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What does it mean if a function's range is y > 80?

Back

It means that the output values (y-values) of the function are greater than 80, indicating that the function does not produce any values less than or equal to 80.

Front

Describe the range of a function that has a minimum value of -8.

Back

The range of this function is expressed as -8 < y < ∞, meaning y can take any value greater than -8.

Front

What is the domain of the function if it is defined for all real numbers?

Back

The domain is expressed as -∞ < x < ∞, indicating that any real number can be an input.

Front

Explain the significance of the range in relation to the graph of a function.

Back

The range indicates the possible output values of a function, which can be visualized as the vertical extent of the graph.

Front

What is the difference between domain and range?

Back

Domain refers to the set of input values (x-values), while range refers to the set of output values (y-values) of a function.

Front

If a function has a range of y < 0, what does this imply?

Back

This implies that the function only produces negative output values.

Front

What does the notation y > -3 signify in terms of range?

Back

It signifies that the function's output values are greater than -3, meaning it does not include -3 or any values less than -3.

Front

How can you determine the range of an exponential function from its graph?

Back

You can determine the range by identifying the lowest point on the graph and noting that the function extends infinitely upwards from that point.