1) I remember transformation mostly by looking for the parent function of a given function. To graph it, i start by drawing a sketch of the parent function. From there i look at what has been done to the original function and make me transformations accordingly.
2) Basically all that i know about trigonometry is down to the unit circle. Admittedly though, trig. is my most trouble concept. Something helpful to me to remember the ordered pairs on the unit circle is starting from pi over 3, count 1.... 2.... 3.... for all the x's, then count 3....2....1...... for all the y's. then put square root on all the numbers expect the one's and put everything over 2.
3)What ABSOLUTELY confuses me in trig its how to apply transformations to all the trig. functions. I need MOST help on that!!!
Saturday, November 21, 2009
Sunday, November 15, 2009
Logs and Inverses
What I Understood:
In a logarithmic function, when one gives an input, it will output the exponenent of the given base. For example, if one input 8 into log base 2 the output will be 3.
To find out if the inverse of a function is possible, one may use the horizantol line test the same way one uses the vertical line test to determine of a graph is a function.
The inverse of a fucntion, wether it is a fucntion or not, is mirrored about the line y=x. This makes graphing the inverse of a graph much easier.
The inverse of in exponent is a logarithm.
Misunderstood:
how to solve a piece wise function with a log
how to apply transformtion of a log function
In a logarithmic function, when one gives an input, it will output the exponenent of the given base. For example, if one input 8 into log base 2 the output will be 3.
To find out if the inverse of a function is possible, one may use the horizantol line test the same way one uses the vertical line test to determine of a graph is a function.
The inverse of a fucntion, wether it is a fucntion or not, is mirrored about the line y=x. This makes graphing the inverse of a graph much easier.
The inverse of in exponent is a logarithm.
Misunderstood:
how to solve a piece wise function with a log
how to apply transformtion of a log function
Friday, November 6, 2009
Even and Odd Functions
In graphical terms an even function looks like this:
An even function is symmetrical with respect to the y-axis.
An odd function looks like this
An odd function is symmetrical with respect to the orgin (0,0)
These graphs are exactly the same as saying an even function is f(-x) = f(x) and an odd function is f(-x) = -f(x).
Even Function:
This is so because for any function of f(x),when you alter the input (x) the graph of the function transforms. In this case when the input is made negative, the image of the graph is mirrored. Therefor for, if a graph that is symmetrical about the y-axis is transformed into f(-x) it will be exactly the same as the orginal function.
Odd Function:
An even function is symmetrical with respect to the y-axis.
An odd function looks like this
An odd function is symmetrical with respect to the orgin (0,0)
These graphs are exactly the same as saying an even function is f(-x) = f(x) and an odd function is f(-x) = -f(x).
Even Function:
This is so because for any function of f(x),when you alter the input (x) the graph of the function transforms. In this case when the input is made negative, the image of the graph is mirrored. Therefor for, if a graph that is symmetrical about the y-axis is transformed into f(-x) it will be exactly the same as the orginal function.
Odd Function:
Tuesday, November 3, 2009
CALCULUS FAIL!!
AHH!! Calculus is scaring me!!! I forgot a lot of things!!!
I think I am going to end up answering things like this:
see more Epic Fails
I think I am going to end up answering things like this:
see more Epic Fails
Subscribe to:
Posts (Atom)