Past paper

Question 1

How can you deduce the values for which a fraction like 10/ (x+3)^3 is less than 0

Answer 1

• Less than zero means negative
• As fraction is positive, positive over negative is xero
• Therefore denominator must be zero
• x + 1 must be negative
• Then find the value of x this works for.

Question 2

When do you get the most accurate expansion for which value of x?

Answer 2

• When x is closest to zero.

Question 3

How can you describe the transformation that maps the curve with equation y=f(x) onto g(x)

Answer 3

• Step 1 look for the how the functions look similar and sub in something to make them look similar
• Step 2, then do another transformation to make them the same.

Question 4

How could you find the range of a function when it is 21/ a quadratic.

Answer 4

• Step 1, 21/something when the function tends to infinity the fraction will tend to zero.
• Step 2, when the function is its smallest value the fraction will be at highest value.