Chapter 8.2, Problem 41PPSE

Solution

To graph: The pair of function $y=\frac{3}{x+1},y=-4$ . Find the approximate point of intersection.

Given information:

The given pair of function is $y=\frac{3}{x+1},y=-4$ .

Graph:

Now consider the given pair of function:

  $y=\frac{3}{x+1},y=-4$

Press the $Y=$ button and enter the functions $y=\frac{3}{x+1}\text{in}{y}_1\text{and}y=-4\text{in}{y}_2$ .

Use dotted lines for $y=\frac{3}{x+1}$ and solid line for $y=-4$ .

  

Press GRAPH button in the calculator.

  

Here the dotted curve represents the function $y=\frac{3}{x+1}$ and the thick line represents the function $y=-4$ .

Now find the point of intersections.

Press the button 2^nd, TRACE and select the option 5: Intersect.

Move the cursor to the intersecting point and enter button three times. Then the intersecting point will be displayed on the screen.

  

Interpretation: The point of intersection for the given pair of functions is $\left(-1.75,-4\right)$ .