Domain & Range - Exponential Functions (& linear and quadratic))

Front

What is the range of an exponential function that approaches zero but never touches it?

Back

The range is the set of all real numbers greater than 0.

Front

How can the range of a part of an exponential function be represented?

Back

The range can be represented using inequalities, such as y ≥ k, where k is the minimum value of the function.

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers.

Front

What is the range of a quadratic function that opens downwards?

Back

The range is represented as y ≤ k, where k is the maximum value of the function.

Front

How do you determine the domain of a function from its graph?

Back

The domain can be determined by identifying the x-values for which the function is defined.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the function, which is crucial for determining the range.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if the output values fall as the input values increase.

Front

How do you find the range of a function given its equation?

Back

To find the range, analyze the function's behavior (e.g., maximum/minimum values) and any restrictions on the output.

Front

What is the general form of an exponential function?

Back

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

Front

What is the effect of the base 'b' in an exponential function?

Back

If b > 1, the function increases; if 0 < b < 1, the function decreases.