Question

a. Plot the data for the functions f(x) and g(x) on a grid and connect the points. x |-2 | -1 | 0 | 1 | 2f( x)| 4 | 2 | 1 | 1 | .x | -6 | -3 | 0 | 3 | 6 | g( x) 5 | 6 | 7 | 8 | 9 |On your same document, answer the following questions: b. Which function could be described as exponential and which as linear? Explain. c. At what value(s) of x are the function values equal? If you cannot give exact values for x give estimates. Upload your document in the box below.

Answer 1

Here, we want to plot the given functions on the same grid

To do this, we have an axis for x and another axis will take f(x) and g(x)

Let us start with the first table

We start by marking the x-coordinate and f(x) coordinate, then draw a line through the points (a dotted line is preferable). Where both meets is the point

For example (-2,4)

Draw a verical dotted line through -2 and a horizontal dotted line through 4; where both linemeets will represent the point we want to locate

The red points show the first function, while the second point shows the second function

b) The second function g(x) can be said to be linear

This is because, we can actually draw a line that passes through the points which is not possible for the first function f(x)

c) Here, we want to get the values of x at which the functions are equal

What this mean is that, we look at the graph and get the x-value points at which the graphs intersect

We can see this by looking at the plot above

From the plot above, we have an estimate at the point x = -4