# How to Check the Continuity of a Function — General Rules

Calculus > Check the Continuity of a Function A continuous function has a graph without gaps, splits, or holes. In other words, you could draw a line of the graph on paper without lifting the pencil. You sometimes need to…

# Function Composition: How to Decompose a Function

Calculus > Function Composition In order to figure out function composition (or to decompose a function), you must be familiar with the eight common function types and with basic function transformations, like what a negative sign does to a function…

# How to Find the Domain and Range of a Function

Calculus > How to Find the Domain and Range of a Function The domain is the set of x- values that can be inputted into a function, while a range is the set of y- values that are outputted for…

# Vertical Line Test in Easy Steps with Examples

Calculus > The vertical line test is an easy way to see if you have a function by looking at a graph. Any x-value for a function can have — at most — only one y-value. This fact tells you…

# How to Find Intersection of Two Lines: Algebraically & TI-89

Calculus > You may want to find intersection of two lines for many reasons in calculus. The most basic use is that the intersection of two graphs is the solution to a series of equations (much easier than solving systems…

# How to Find Intercepts in Calculus

Calculus > How to Find Intercepts in Calculus Being able to find intercepts in calculus is something you’ll do over and over again. Intercepts are where the function crosses the x-axis (the x-intercept) and the y-axis (the y-intercept). There are…

# How to Use the Quadratic Formula in Calculus

Calculus > How to Use the Quadratic Formula in Calculus The quadratic formula is a way to find the solution for any polynomial in the form ax2 + bx + c = 0. You’ll need to use the quadratic formula…