period1ah

Start a blog in which to record your thoughts about precalculus mathematics. Your first entry should discuss include the things listed here.

• Sketches of graphs from real-world information
• Familiar kinds of functions from previous courses and from this unit
• How to dilate and translate the graph of a function
• Any difficulties or misconceptions you have but overcame
• Any topics about which you are still unsure

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there are many different graphs that can be taken from real life situations such as the temperature of a cup of coffe over time, the height of a ferris wheel over time or the water level in the bath tub over time.

FUNCTIONS:

Polynomial Function:a graph that can cross the x-axis n amount of times, can change direction n-1 amount of times

EX:

f(x)=a_nxⁿ+a_n-1x^n-1........

Quadratic Function: normally U shaped, changes direction at the vertex

EX: 

f(x)= ax²+bx+c

Linear: most common, line that is staright and has a constant slope

f(x)=ax+b

Direct Variation: goes through the orgin and has a domain that is greater then or equal to 0

EX: 

f(x)=ax

Power: include a power in the equation, usually include nonnegative real numbers.

EX: 

f(x)=ax^b

Exponential:a line that crosses tge y axis and the x axis  creates an asymptote 

EX:

f(x)=a*b^x

Inverse Variation: looks like two different functions, never touch the axis domain that x never equals 0 

f(x)=a/x

Rational:has a hole, can find asymptoes, can find both vertically and horizontally

EX: 

f(x)= p(x)/q(x)

I struggle remembering all the details about dialation and translation but when i have my notes it is obvious. Translation slides/maves the graph over a given number of points and dialation can make the graph wider or taller. (vise versa)

I still need help with some of these things i can understand the basics it just takes me a while to graspe the concept!

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Posted by: period1ah    in: My entries

Modified on October 14, 2006 at 2:29 PM