- Given h(x) = -x3 + ax2 + bx and g(x) = -12x, P and Q(2; 10) are the turning points f h. The graph of h passes through the origin.
- If f(x) = -x2 - 3x, determine f `(x) from first principles.
- The graph of f shows the book value of a vehicle x years after the time Joe bought it. The graph of g shows the cost price of a similar new vehicle x years later.
- The graphs of f(x) = -2x2 and g(x) = -ax2 + bx + c are sketched below.Points P and Q are the y-intercepts of f. Points Q and R are the x-intercepts of g. S is the turning point f g. T is the y-intercept of both f and g.
- Given: h(x) = 2x - 3 for -2 ≤ x ≤ 4. The x-intercept of h is Q
- Given: f(x) = 2x + 1 - 8
- Consider the series: Sn = -3 + 5 + 13 + 21 + ... to n terms.
- The following geometric sequence is given: 10; 5; 2,5; 1,25; ...
- Solve for x:
- The digits 1 to 7 are used to create a four-digit code to enter a locked room. How many different codes are possible if the digits may not be repeated and the code must be an even number bigger than 5000?