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Tuesday, October 29, 2013

SV #4: Unit I Concept 2 - Graphing Logarithmic Functions

The students needs to remember that in this concept, the range is going to be (negative infinity, positive infinity) and NOT the domain (that is concept 1). Also they need to remember that when they are plotting the asymptote, it has to be vertical, not horizontal (that is concept 1). The student also needs to remember that the graph will be going on forever, so the picture in their calculator is not the entire graph (remember to draw arrows at the end of graph). 

Problem: Log 5 (x + 4) - 2

Thursday, October 24, 2013

SP #3 Unit I Concept 1: Graphing Exponential Functions

In this concept you will be learning how to graph exponential functions as well as identify the x-intercepts, y-intercepts, asymptotes, domain and range. The parent graph is y = a times b^(x-h) + k. You will be using the parent graph to find the asymptote, the x-intercepts, y-intercepts, domain and range.

Be careful plugging 0 into y to find the x-intercept as well as plugging in 0 for x when finding the y intercept. Make sure that you are using your algebra solving skills correctly when finding the intercepts. Remember that you CANNOT take the log or natural log of a negative number (if is undefined and that means that you will not have a x intercept). Remember to put arrows on the ends of your graph because it goes on forever.

Problem: f(x) = -2 times 3^(x+1) - 1


Wednesday, October 16, 2013

SV #3 Unit H Concept 7 - Finding Logs Given Approximations

Problem: 945/96

The student must pay attention when they are finding the factors of 945/96. They must remember that they are only allowed to use factors from the numbers that are given to them in the clues. They may be tempted to break down the numbers further, but they must remember to only use numbers given to them. Also be careful when putting the addition/subtraction signs, pay attention to which are multiplied (the numerator) and which are divided (denominator).


Monday, October 7, 2013

SV #2 Unit G Concepts 1-7 - Finding all parts and graphing a rational function

So in this concept, you will be determining the asymptote of a function. You will determine if it is a horizontal asymptote, a slant asymptote, a vertical asymptote and if it has a hole or not. You will then find its domain, x-intercepts, y-intercepts and then plot and graph its points. You will be learning how to do this problem:
(x^3 + 3x^2 +2x) / (x^2 -3x -4)

The viewer needs to pay attention to the degrees of the function because it determines what kind of asymptote the function is. They also to need to pay attention when using long division when finding the slant.