3 past paper questions on functions and graphs from KwaZulu-Natal, 2024. Read what each one asks, then open it with its memo.
2 questions on functions and graphs. Each opens in the question browser with its memo.
A hyperbola with asymptotes meeting at (2; 1) and D(4; 3) on the curve. Write down the asymptote equations, show the equation of f, find the y-intercept, determine the axis of symmetry with positive gradient, give the values of x for which f(x) < 0, and describe in words the transformation from f to a second graph.
A parabola and a straight line sharing a y-intercept, with MN drawn parallel to the y-axis between them. Write down coordinates, use the distance PQ to find an x-intercept, prove the three coefficients of the parabola, find the turning point and the range, solve an inequality from the sketch, determine the values of a vertical shift for which the graph still cuts the x-axis, and find the maximum length of MN.
1 exam page where functions and graphs appears alongside other topics — pages where one question ends and the next begins. Listed in full so nothing is hidden.
Sketch an exponential function and a straight line on one set of axes from stated properties, then reflect both in the line x = 1, read an inequality off the sketch, and find the values of k for which the roots of a related equation are negative. The second question is financial: find the number of years for a simple-interest investment to reach a given value, work backwards through five years of 2,5% annual decline in a bee population, and analyse a further investment.
Carry on through the Grade 11 curriculum.
Finance growth and decay past paper questionsDescriptions last updated 10 August 2026.