Name: Calculus 1
Created By: K.G. Pillay
Max Time: 25 mins

Select an option for each question and click Submit

1. If f(x) = 2x + 6; then f(x+h) – f(x) is given by:

2. Given: f(x) = -4x2, then one of the terms of f(x+h) – f(x) will be:

3. If the derivative of x3 – 6x2 is given by kx2 – 12x, then the value of k is:

4. Consider the function defined by y = x2 + 4x. The value of the gradient at x = 4 is given by:

5. A ball is thrown vertically upwards. After t seconds, the height of the ball above the ground (in m) is given by: k(t) = 10t – t2. The height of the ball after 5 seconds is … m

6. Given f(x) = x3 - 6x2 + 9x - 4. For the following statement, which option is TRUE? The x-intercepts are:

7. Study the form of the graph below, defined by y = ax3 + bx2 + cx + d. The value of a is:

8. The graph of f below is decreasing for:

9. The graph below is defined by y = 3x –x3 - 2. The co-ordinates of the local maximum are:

10. The graph shown is defined by y = x3 + 5x2 - 8x -12. The area of the triangle is given by … square units.