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Test List
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:
2x + h + 6
2h + 6
2x + 2h + 6
2h
2. Given: f(x) = 4x
^{2}
, then one of the terms of f(x+h) – f(x) will be:
2h
^{2}
8xh
4x
^{2}
4xh
3. If the derivative of x
^{3}
– 6x
^{2}
is given by kx
^{2}
– 12x, then the value of k is:
3
1
3
0
4. Consider the function defined by y = x
^{2}
+ 4x. The value of the gradient at x = 4 is given by:
6
12
12
4
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 – t
^{2}
. The height of the ball after 5 seconds is … m
5
15
25
55
6. Given f(x) = x
^{3}
 6x
^{2}
+ 9x  4. For the following statement, which option is TRUE? The xintercepts are:
1; 6 and 9
1; 9 and 4
1 and 4 only
1 and 9 only
7. Study the form of the graph below, defined by y = ax
^{3}
+ bx
^{2}
+ cx + d. The value of a is:
negative only when “b” is negative
negative only when “c” is negative
negative only when “d” is negative
negative always
8. The graph of f below is decreasing for:
x ? (a;b)
x < a
x > b
x ? [a;b]
9. The graph below is defined by y = 3x –x
^{3}
 2. The coordinates of the local maximum are:
(1;0)
(0;1)
(1;1)
(0;0)
10. The graph shown is defined by y = x
^{3}
+ 5x
^{2}
 8x 12. The area of the triangle is given by … square units.
24
34
44
54
