Friday, September 27, 2013

Wednesday, September 25, 2013

9/25/13

Your test is on Tuesday, October 1st! Prepare wisely so that you don't make any silly mistakes. :)

Chapter 6.2 notes:

So far, we've been working with linear and quadratic equations (remember, a quadratic equation represents a parabola and is non-linear).

Exponential equations are equations that have a variable as an exponent. Ex: f(x) = 2x

While in a quadratic function, a key point is the vertex, but an exponential function’s key point is either (0,1) or (0,-1).

When an exponential function decreases (going from left to right) it’s a decaying function. (ex: water dripping out of a bucket, radioactive decay, etc.)
When an exponential function increases going left to right, it’s a growing function.

     Base > 1 is a growing exponential function
     0 < base < 1 is a decaying exponential function.
     Base = 1 is a line.
     Base = 0 is undefined.


Side note: There are bakers in San Francisco using the same yeast as they did in 1900. They consider it their trademark secret for making sourdough bread.


Homework: 5.6) #65, 71
                    6.2) page 366 #10-15 all
                           Graph #25, 28
                            Solve #31, 33

Tuesday, September 24, 2013

9/24/13

Homework for 9/24/2013. Unit 5.6: 9, 10, 11, 12, 27, 29, 33, 45, 51, 54, 65, 71

Monday, September 23, 2013

9/23/13

Remember that saying this:
(a + b)2 = (a2 + b2)
Is not the same as saying this:
(a + b)2  = (a + b)(a + b)
Why? Because you can NEVER distribute the exponent into the parentheses if the parenthesis contains more than one term.

Transformations:
Axis of symmetry is found by completing the square, and the vertex is found by using the h/k components found from completing the square.
Remember, when you have a number inside a parenthesis, you go the opposite direction of the sign.

Homework for the day:

5.5 on page 311, 312 # 11, 15, 19, 29, 39, 45

examples: