Alg. 4.7 Graphing Piecewise Functions

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 its domain.

Front

How do you determine the domain of a piecewise function?

Back

The domain of a piecewise function is the union of the domains of each piece, considering the intervals where each piece is defined.

Front

What does it mean for a function to be defined for all real numbers?

Back

It means that the function has a value for every possible input from negative infinity to positive infinity.

Front

What is the domain of the quadratic piece labeled as 'B' if it is defined for x ≥ -1?

Back

The domain is x ≥ -1.

Front

How do you evaluate a piecewise function at a specific point?

Back

To evaluate a piecewise function at a specific point, identify which piece of the function applies to that input and use the corresponding formula.

Front

What is the value of f(-2) if f(x) is defined as a piecewise function and f(-2) = -4?

Back

f(-2) = -4.

Front

When evaluating f(x) at x = 4, how do you choose the correct function?

Back

You select the function that corresponds to the interval containing x = 4.

Front

What is the output of f(6) if f(6) = 7?

Back

The output is 7.

Front

What is the significance of the notation f(x) = 2x + 1?

Back

It represents a linear function where the output is determined by multiplying the input x by 2 and then adding 1.

Front

What does it mean if a function is defined as f(x) > 0?

Back

It indicates that the function's output is positive for the values of x in its domain.