Question

Draw the graph of the function f :R---R :f(x)= x^2-6x+5. Obtain the coordinates of the point at which the graph meets the x and y axes.

Answer 1

Solution:

If the function

$$f:R\mapsto{R}$$

and

$$f(x)=x^2-6x+5$$

then the graph of the function looks like this

where

$$(1;0), (5;0)$$

are the points at which the graph meets the x axis because

$$x^2-6x+5=0,D=36-20=16,$$

$$x_1=\frac{6-\sqrt{16}}{2}=1, x_2=\frac{6+\sqrt{16}}{2}=5;$$

and

$$(0;5)$$

is the points at which the graph meets the y axis because

$$0^2-{6}\cdot{0}+5=5.$$

Answer:

$$(1;0),(5;0),(0;5)$$

are the points at which graph meets the x and y axes.