Identifying Graphs (1 Viewer)

[Twickel]

SO
My exam is coming up this Wednesday, this is what is in it
Perm and Comb (23) Dont understand
Solving absolute values graphically (8) Easy
Identifying graphs (11) What do they mean by identifying graphs?
Curve Sketching and asymptotes ( Had a chest infection all week still have it and so I could not go to school, trying to teach myself but its difficult)

Im screwed in other words. What do they mean by Identifying graphs?

 

[lyounamu]

SO
My exam is coming up this Wednesday, this is what is in it
Perm and Comb (23) Dont understand
Solving absolute values graphically (8) Easy
Identifying graphs (11) What do they mean by identifying graphs?
Curve Sketching and asymptotes ( Had a chest infection all week still have it and so I could not go to school, trying to teach myself but its difficult)

Im screwed in other words. What do they mean by Identifying graphs?

Identifying graphs would be to identify different types of graphs and to draw them such as hyperbola, parabola, exponential and logarithmic graphs. Don't forget circle graphs, semi-circle graphs. You also have to know the differences between function and relation (don' need to explain, just need to know how to identify the graph as a relation or as a function).

How to study permutations & combinations:

1. Memorise the formulas (i.e. nPr = n!/(n-r)! and nCr = n!/(r!(n-r)!)
2. Try as many different types of questions as possible.
3. Get familiar with addition, multiplication methods
4. Solve your question visually. (Draw boxes to make it easier for you to understand)
5. I recommend Fitzpatrick & Cambridge for this. Excel is another good book.

Curve Sketching & asymptotes

1. Draw as many graphs as possible. When you draw one, start with asymptotes (the vertical or horizontal lines that the curve does not cross with)
2. Use Fitzpatrick for this. It has good questions in it.
3. You may need to use the limit x -> infinity to find the horizontal symptote
4. You may need to find the minimum & maximum turning points via 1st & 2nd derivative
5. You may need to prove that the graph is even or odd (or neither of those).
6. You may need to use the table of values to put some points down.

 

[vds700]

to test whether a graph is a function or relation, use the vertical line test.

if it is a function, you can draw a vertical line anywhere on the graph and it will cut the graph at one point only. If it is a relation, a vertical line can cut the graph at more than 1 place.

 

[kaz1]

Horizontal line test to find out if the graph has an inverse function.

 

[vds700]

Horizontal line test to find out if the graph has an inverse function.

hes in year 11 so he wont have done inverse functions yet

 

[Twickel]

With the curve sketching when do I know there will be a parabola.

y= 3/x^2-4 has a parabola but y=x+2/x^2-4 does not.


Thanks for all the advice.

 

[pLuvia]

For the second case, factorise the denominator and it comes out to be (x+2)(x-2), the x+2 cancels out with the numerator and you are left with a hyperbolic function 1/(x-2)

 

[vds700]

With the curve sketching when do I know there will be a parabola.

y= 3/x^2-4 has a parabola but y=x+2/x^2-4 does not.


Thanks for all the advice.

those two functions are not parabolas, they are hyperbolas.

A parabola is in the form y = ax^2 + bx + c.

I suggest u use a graphing program such as winplot to grpah these sorts of functions so u know what they look like.

 

[kaz1]

hes in year 11 so he wont have done inverse functions yet

I'm in year 11 also and we have done inverse functions.

 

[vds700]

I'm in year 11 also and we have done inverse functions.

Inverse functions is a HSC topic.

 

[donetha]

those two functions are not parabolas, they are hyperbolas.

A parabola is in the form y = ax^2 + bx + c.

I suggest u use a graphing program such as winplot to grpah these sorts of functions so u know what they look like.

I think he is trying to say if there is a parabola present in the hyperbola. Which is the case with his first equation. There is a parabola in between the two asymptotes

 

[foram]

Inverse functions is a HSC topic.

I thought 3Unit didn't differentiate much between prelim and HSC. My teacher said it was like a 2 year HSC course, except it didn't count during year 11.