part a: explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 2−x+1 intersect are the solutions of the equation 4−x = 2−x+1.

part b: make tables to find the solution to 4−x = 2−x+1. take the integer values of x between −2 and 2.

part c: how can you solve the equation 4−x = 2−x+1 graphically?

Solutions:

Part A:

Let

As we know that the values at the point of intersection are the values that satisfy both the equation at that particular point.

So at insertion point,

Hence

Part 2:

The problem asked to make tables to find the solution to

If we take the first equation,

then, the table for (x,y) is

if we take the second equation,

then the table for (x,y) is

Part 3:

We can solve the equation graphically by drawing the line and in the graph. The intersecting point of both the lines will be the solution.