Determine the number of x-intercepts that appear on a graph of each function. f (x) = (x + 2)(x - 1)[x - (4 + 3i )][x - (4 - 3i)]

This function has two x-intercepts.

Step-by-step explanation:

The number of x-intercepts of a function is given by the number of REAL ROOTS of the function. A complex root does not intercept x.

In this function, we have

Two real roots: x = -2 and a x = 1

Two complex roots: x = -4 + 3i and x = -4 - 3i

So this function has two x-intercepts.

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.