MATH 1013 Chapter Notes -Asymptote, Graph Paper, Maxima And Minima
This preview shows page 1. to view the full 4 pages of the document.
Summary of Curve Sketching
In this section, we will cover up a few general points that you need to remember when writing an
exam/midterm for any Math 1013 course at York University.
In order to sketch a graph, you will need:
X and Y-intercepts
Intervals of Increase/Decrease
Concavity and Inflection points
Let us take a simple example:
The function can also be written as:
To calculate the domain of the function, the denominator has to be equated to zero, i.e.
which in turn gives us:
Hence, the domain D of
X and Y-intercepts:
Let us begin by calculating the y-intercept. To calculate the y-intercept, simply calculate .
undefined, there is no y-intercept.
Next, to calculate the x-intercept, simply evaluate .
Therefore, the x-intercept is x = 1.
To determine the symmetry of a function, use the following general rules:
- symmetric about the y-axis
- symmetric about the origin
You're Reading a Preview
Unlock to view full version