1. Find the domain
2. Find the intercepts by x=0, so y=-7 and vice versa y=0 x=7/2
3. Symmetry (even/odd function) f(-x)
- vertical (find a value that provides non 0 in the numerator and 0 in denominator)
- horizontal (limit as x tend to +/- infinity)
- oblique (by long division, if appropriate)
And be aware that polynomial functions don't have asymptotes!!
5. Increasing/decreasing intervals, max/min and critical points by finding the first derivative
6. Concavity, point of inflection (if occur) by finding the second derivative
7. Sketch the graph by plotting all the points
I think my way is actually easier.
-7 is the X-intercept
2X is the slope
Make a point at (-7,0)
The slope is 2/1 and it's positive so you go up 2 and right 1
Make a line
Why are you responding to a 8+ year old thread!!I think to understand this you should first understand the basic equation for a straight line:
y = m x + c
y = m x + b
(c and b are the same thing, it's just a different way of representing the y intercept)
1. m is the gradient or slope; you find m by dividing the rise by the run.
2. x is the x coordinate of the specific point on the line; you can say x or y is a number and use it to find a random point on the line.
3. c is the y intercept; the value of y when x is equal to 0.
Just think of the equation as if it is algebra; you need to figure out the value of y based off what the x is or vice versa.