Question 7: (a) The following table shows the corresponding values of x and y for the  equation y= –x3 + 3x + 1.    x –3 –2 –1 0 1 2 3 3.5 4 y 19 3 r 1 3 –1 s –31.4 –51 Calculate the value of r and s.   (b) For this part of the question, … Read more

Question 5: (a) The following table shows the corresponding values of x and y for the equation y = 24 x    x –4 –3 –2 –1 1 1.5 2 3 4 y –6 k –12 –24 24 n 12 8 6 Calculate the value of k and n.   (b) For this part of … Read more

2.4.2 SPM Practice (Short Questions)   Question 3: Which of the following graphs represent y = 2×3 – 16?   Solution: y = 2×3 – 16 On the y-axis, x = 0. y = 2(0)3 – 16 y = –16   The answer is C. Question 4: Which of the following graphs represent y = − … Read more

2.4 SPM Practice (Short Questions)   Question 1: Which of the following graphs represent y = –x2 – x + 2?   Solution: 1.   The coefficient of x2 < 0, its shape is ∩. 2.   Find the x-intercepts by substituting y = 0 into the function. y = –x2 –x + 2 when y = … Read more

2.2 Solving equations graphically   The solution of the equation f (x) = g (x) can be solved by graphical method. Step 1: Draw the graphs of y = f (x) and y = g (x) on the same axes. Step 2: The points of intersection of the graphs are the solutions of the equation f … Read more

(B) Types of graphs of functions.   (a) Linear function: y = mx + c Highest power of the variable x is 1. (i) y = mx + c, m > 0 (ii) y = mx + c, m < 0 (b) Quadratic function: y = ax2 + bx + c Highest power of the variable x … Read more

2.1 Graphs of Functions   (A) Drawing graphs of functions   1. To draw the graph of a given function, the following steps are taken. Step 1: Construct a table of values for the given function. Step 2: Select a suitable scale for the x-axis and y-axis, if it is not given. Step 3: Plot the … Read more