R(0, 5)
y = g(x)
OP(2, 0)
2(7.0)*
M(4,-1.5)
Figure 1
Figure 1 shows a sketch of the curve with equation y = g(x).
The curve has a single turning point, a minimum, at the point M(4, −1.5).
The curve crosses the x-axis at two points, P(2, 0) and Q(7, 0).
The curve crosses the y-axis at a single point R(0, 5).
(a) State the coordinates of the turning point on the curve with equation y = 2g(x).
(b) State the largest root of the equation g(x + 1) = 0.
(6,01
(c) State the range of values of x for which g'(x) (4,-3)
32-4ac LO
Given that the equation g(x) + k=0, where k is a constant, has no real roots,
(d) state the range of possible values for k.
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