Rationals and mixed EOC review practice

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.

Front

What is the domain of a rational function?

Back

The domain of a rational function includes all real numbers except where the denominator equals zero.

Front

How do you find the vertical asymptotes of a rational function?

Back

Vertical asymptotes occur at the values of x that make the denominator zero, provided the numerator is not also zero at those points.

Front

What is a relative minimum?

Back

A relative minimum is a point on the graph of a function where the function value is lower than the values of the function at nearby points.

Front

What is end behavior in functions?

Back

End behavior describes how the values of a function behave as the input approaches positive or negative infinity.

Front

How do you factor the expression 4t^2 - 16?

Back

4t^2 - 16 can be factored as 4(t + 2)(t - 2).

Front

What is the significance of the x-intercept in a function?

Back

The x-intercept is the point where the graph of the function crosses the x-axis, indicating where the function value is zero.

Front

What is the horizontal asymptote of a rational function?

Back

The horizontal asymptote describes the behavior of a function as x approaches infinity or negative infinity, often determined by the degrees of the polynomials in the numerator and denominator.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

How do you determine the range of a rational function?

Back

The range of a rational function can be determined by analyzing the output values of the function, often considering vertical asymptotes and holes.