WPP#6: Unit I Concepts 3-5 - Interest and Investment

Create your own Playlist on MentorMob!

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

To view my video, please click here.

Make sure to pay special attention to the asymptotes and x/y intercepts. Since this is a logarithmic function, the asymptote will depend on h, not k like in exponential functions. So if you forget to take the opposite of h, then your graph will be wrong. For the x/y intercepts, you need to know how to exponentiate and solve logarithmic equations since they can get a little tricky or undefined.

SP#3: Unit I Concept 1- Graphing Exponential Functions

Make sure to pay special attention to the asymptote and the x/y intercepts. The asymptote for exponential functions is from the k in the equation y= a x b^(x-h) + k, so you must remember to set it make it y=K not just k. When solving for the x or y intercepts, be sure to remember that is possible to end up with undefined answer; all that means is that there is no x/y intercept.

1. Find a, b, h, and k. Refer to y= a x b^(x-h) + k. *Remember that for h just put the opposite since it shows as x+1, it is actually -1 since 2 negatives make a positive.

2. Calculate the asymptote. Asymptote of exponential equations is y=k. So the asymptote would be y=  -2, not just -2 in its own. Then, draw the asymptote on the graph.

3. Solve for the x-intercept. Plug in 0 for y and solve. This will review your knowledge on solving exponential equations. Since you can't take the log or natural log of a negative number and zero, the answer will be undefined and no x-intercept. This is also logical because since the graph is below the asymptote of y=-2, then there in no way for it to cross it, let alone intersect the x axis.

4. Solve for y-intercept. Substitute x with 0 and solve. Plot the point on the graph.

5. Write domain in proper notation. Domain of an exponential function will always be (-infinity, infinity), which just means there are no x value restrictions.

6. Write the range in proper notation. This depends on the asymptote and graph. Since the graph is below the asymptote, it would be (-infinity, -2). 

7. Find 4 key points using a graphing calculator. Plot them on the graph.

8. Draw the graph by connecting the points and following the asymptote. 

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

To view my video, please click here.

This video will over how to find logs when given clues on how to find it. There are four clues that are given to you and two hidden clues that you can find using your knowledge of the proerties of logs. Using the clues and the power, quotient, anx product property, you will then be able to substitute the values/variables in and simplify to find what the log will equal.

Make sure to pay close attention to breaking down the numbers because some might already be a clue, but could still be broken down further. Also, ensure that you have the right signs when substituting in the clues: if it's in the numerator, then it will be positive because it multiplying; if it's in the denominator, then it will be negative because it is dividing.

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

To view my video, please click on the link here.

This video will go over rational functions and how to graph them. It will go also go over your knowledge on horizantal/slant/vertical asymptotes, holes, domain, and the x/y intercepts. Make sure you remember to put everything in its proper notation as well.

You need to make sure to pay close attention factoring and long division. This will ensure that your vertical asymptotes and holes are correct while also helping establish a boundary for your graph. Also, make sure that you have at least 3 points on each side of your asymptotes before making the graph.