Question

Given F(x)=⌊2x−3⌋, graph and find the x & y.

A) x=2,y=1
B) x=1,y=−1
C) x=0,y=−3
D) x=−1,y=−5

Answer 1

The graph of the function f(x) = |2x - 3| is shown in the image attached and the solution is x=1,y=−1 and x=0,y=−3.

How to calculate the value of x and y?

The value of x and y in the equation is calculated by applying the following formula as shown below;

The given function:

f (x) = |2x - 3|

We will have two equations in order to find the value of x and y;

f (x) = - (2x - 3) ----- (1)

when x = 0, the value of y becomes;

y = - (0 - 3)

y = 3

when x = 1, the value of y becomes;

y = - (2 x 1 - 3)

y = - (2 - 3)

y = 1

f (x) = 2x - 3 -------- (2)

when x = 0, the value of y becomes;

y = - 3

when x = 1, the value of y becomes;

y = (2 x 1 - 3)

y = - 1

So the solution of the x and y in the absolute value equation is;

x = 0, y = -3

x = 1, y = - 1