IGCSE Mathematics 0580/04/SP/20 Q3

Question

3     f(x) = 20/x + x, x ≠ 0 

(a)  Complete the table.

 

(b)  On the grid, draw the graph of y = f(x) for –10 ⩽ x ⩽ –1.6 and 1.6 ⩽ x ⩽ 10.

 

 

(c) Using your graph, solve the equation f(x) = 11.

 

(d) k is a prime number and f(x) = k has no solutions. Find the possible values of k.

 

(e) The gradient of the graph of y = f(x) at the point (2, 12) is −4.

Write down the coordinates of the other point on the graph of y = f(x) where the gradient is −4.

 

(f)      (i)   The equation f(x) = x2 can be written as x3 + px2 + q = 0.

Show that p = −1 and q = −20.

 

(ii)  On the grid opposite, draw the graph of y = x2 for –4 ⩽ x ⩽ 4. 

 

(iii)  Using your graphs, solve the equation x3 x2 – 20 = 0.

 

 

 

(iv)  The diagram shows a sketch of the graph of y = x3 x2 – 20. P is the point (n, 0).

Write down the value of n.

 

Cher Questions Solution Bank Rumusan Jawapan SPM & IGCSE Questions Answers SolutionCher Questions Solution Bank Rumusan Jawapan SPM & IGCSE Questions Answers Solution

Cher Questions Solution Bank Rumusan Jawapan SPM & IGCSE Questions Answers Solution

 

 

 

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