EXTRA PRACTICE: Radical and Piecewise Functions Characteristics

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 a radical function?

Back

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the domain.

Front

How do you find the y-intercept of a function?

Back

To find the y-intercept, set x = 0 in the function and solve for y.

Front

What does the notation f(x) mean?

Back

f(x) represents the output of the function f for a given input x.

Front

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

Back

The vertex is the point where the function changes direction or where two pieces of the function meet.

Front

How can you determine the number of pieces in a piecewise function?

Back

Count the number of different expressions or segments defined for different intervals in the function.

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 is the effect of a vertical shift on a function?

Back

A vertical shift moves the graph of the function up or down without changing its shape.

Front

How do you graph a radical function?

Back

To graph a radical function, plot points by substituting values for x and calculating the corresponding y values, then connect the points smoothly.