Pure

Question 1

How is euler’s number represented

Answer 1

e = 2.71828……….

Question 2

dy/dx of y=e^x

Answer 2

dy/dx = e^x (same)

Question 3

Thing to remember to label when sketching an exponential (3 - 4 things)

Answer 3

• y-intercept
• Shape
• Asymptotes
  ( - x-intercepts)

Question 4

How to find areas in a complex graph

Answer 4

Integrate the function between the two x-coordinates (area below graph)

Question 5

Method of finding solutions in a quadratic inequality

Answer 5

1. Bring everything to one side
2. Solve the quadratic equation
3. Sketch the graph with its roots
4. Look at the sign and see whether it is above/below the x-axis
5. Write the solutions in set notation

Question 6

Set notation is…

Answer 6

{x: ……….} ( U {x: ………..} )

Question 7

Factor theorem

Answer 7

If f(x-a), input the +a into the equation. It should be f(x)=0

Question 8

Two ways to find exact values of sin / cos

Answer 8

Method 1: right-angled triangle and use pythagoras to find remaining side. Then SOHCAHTOA to find new exact value (similar to unit circle)
Method 2: input the sin / cos value into the sin^2x + cos^2x = 1 and solve