Solution
Step 1
A turning point of a function is a point where the graph of the function changes from sloping downwards to sloping upwards; or vice versa. So the gradient changes from negative to positive, or from positive to negative. Generally speaking, curves of degree n can have up to (n − 1) turning points.
Step 2
[tex]\begin{gathered} f(x)\text{ = \lparen x - 5\rparen\lparen x + 2\rparen} \\ \\ f(x)\text{ = x}^2-3x\text{ -10} \\ \\ n\text{ = 2} \end{gathered}[/tex]
Step 3
Number of turning = n - 1 = 2 - 1 = 1
Final answer
1
