General Things to remember

Question 1

what is the range of a function?

Answer 1

it is the set of y values the function can give.

Question 2

what is the domain of a function

Answer 2

it is the set of x values a function could have.

Question 3

for inverse functions, what is the domain of it?

Answer 3

the range of the original function.

Question 4

for an inverse function, what is the range of it?

Answer 4

it is the domain of the original function.

Question 5

What should you do for sketching.

y = |f(x)|

Answer 5

1. Sketch y = f(x)
2. reflect anything below the x-axis in the x axis.

Question 6

What should you do for sketching.

y = f(|x|)

Answer 6

1. sketch y = f(x) for x >= 0.
2. Reflect your sketch in the y-axis.

Question 7

when having multiple combinations of transformations of a graph, what order do you do them for the example below?

af(bx+c)+d where abcd are transformations.

Answer 7

BIDMAS

B = 1st
C = 2nd
A = 3rd
D = 4th

Question 8

what is the equation for an arithmetic series.

Answer 8

Un = a + (n-1)d

where a is the first item in the series n is the nth term and d is the common difference.

Question 9

what is the equation for a geometric series.

Answer 9

Un = ar^n-1

Question 10

what should you do when you have to differenciate the following problem.

6xy

Answer 10

when an xy is used, you should use product rule for differentiation.

dy/dx = (6x X 1dy/dx) + (y X 6)

= 6dy/dx + 6y