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 are the zeros of a function?

Back

The zeros of a function are the values of x for which the function equals zero (f(x) = 0).

Front

What is an x-intercept?

Back

An x-intercept is a point where the graph of a function crosses the x-axis, meaning the output (y-value) is zero.

Front

What is a root of a function?

Back

A root of a function is a value of x that makes the function equal to zero, synonymous with zeros and x-intercepts.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the difference between a solution and a zero?

Back

A solution refers to the value that satisfies an equation, while a zero specifically refers to the x-value where the function equals zero.

Front

How do you find the domain of a rational function?

Back

To find the domain of a rational function, identify values that make the denominator zero and exclude them from the domain.

Front

What is the significance of the vertical line test?

Back

The vertical line test is used to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

Back

Multiply through by x to eliminate the fractions, then solve for x. The solution is x = 6.