Question

Choose which function is represented by the graph

Answer 1

Answer:

C

Step-by-step explanation:

The roots of the graph, where it crosses the x- axis are

x = - 1, x = 2 and x = 5

The corresponding factors are then

(x + 1), (x - 2) and (x - 5)

f(x) is the product of the factors, that is

f(x) = (x - 5)(x - 2)(x + 1) → C

Answer 2

Answer:

C

Step-by-step explanation:

The points at which the graph crosses the x axis are called the zeros of the function. The zeros can be found by which number plugged in for x would result in at least one zero. In this case if you plug 5 into (x-5) you get zero, so the entire function is zero. Likewise for 2 in (x-2) and -1 in (x+1). If you look at the graph, 5, 2 and -1 are points at which the graph crosses the x axis and therefore are zeros.