Sketch the graphs of each function f.

Question

F(x) = √x - 1/√x

 

f(x)= (x-1)^2/ x^2-1

Answer 1

(a)

The Function is √x - 1/√x.

Let y = √x - 1/√x

Let us draw the table for f(x) with different values of x.

x	1	100	200	300	400	500
y=√x - 1/√x	0	9.9	14.07	17.26	19.95	22.31

Graph

Draw the coordinate plane.

Plot the above table

Connect the plotted points.

Answer 2

(b)

The Function is (x - 1)²/(x²-1)

Let y = (x - 1)²/(x²-1)

Let us draw the table for f(x) with different values of x.

x	0.6	5	10	15	20	25
y=(x - 1)²/(x²-1)	-0.25	0.666	0.8181	0.875	0.905	0.923

Graph

Draw the coordinate plane.

Plot the above table

Connect the plotted points.