2. If a gardener wanted to propagate a useful variety of apple tree in a way which maintained all its desirable qualities, underline which of the following techniques
would be used
(3 marks)
(a) Planting stem cuttings in potting compost
(b) Grofting stem cuttings onto a rootstock
(c) Grafting buds on to a root stock
(d) Growing the seeds produced from the useful variety
(e) Cross-pollinating the variety with another good variety and growing the seeds
resulting from the cross?
​

answer-

the statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.

solution-

it solely depends on b, whether the function will have one or two or zero x intercept.

this plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e v shape, with vertex translated to (-a, b), instead of origin.

1-   if b is zero, the graph will have exactly one x-intercept, at x= -a

2- if b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- if b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

∴ the statement is sometimes true.