12/18 Graded Functions Review

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different intervals of the input variable.

Front

How do you determine the value of a piecewise function at a specific point?

Back

To determine the value of a piecewise function at a specific point, identify which interval the point falls into and use the corresponding expression.

Front

What does the notation f(x) mean?

Back

f(x) represents the value of the function f at the input x.

Front

What is 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 is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does the interval (-2, ∞) represent?

Back

The interval (-2, ∞) represents all real numbers greater than -2, indicating a positive interval on the number line.

Front

How do you find the value of h(5) if h(x) is defined piecewise?

Back

Substitute x = 5 into the appropriate piece of the piecewise function that corresponds to the interval containing 5.

Front

What is the significance of the graph of a function?

Back

The graph of a function visually represents the relationship between the input values and the output values, helping to understand the function's behavior.

Front

What does it mean if a function is undefined at a certain point?

Back

If a function is undefined at a certain point, it means that there is no output value for that input, often due to division by zero or other restrictions.

Front

How can you identify the correct graph for a piecewise function?

Back

To identify the correct graph for a piecewise function, analyze the function's expressions and their corresponding intervals, then match them to the graph's segments.