Question

Part A: Use the equation to create a table of values using x-values of -1,3,and 5.Remember, the ordered pairs can be verified using the graph.

Answer 1

Here, we want to use the linear equation to create a table of values

Mathematically, eavh point on the table will have its coordinates as follows;

`(x,f(x))`

We already have the x-values, what we need are the f(x) values

To get the f(x) values, we need to input each x-value into the equation of the linear model

Let us take the x-values one after the other

when x = -1

f(-1) = -2(-1) + 3= 2 + 3 = 5

when x = 3

f(3) = -2(3) + 3 = -6+3 = -3

Lastly,

when x = 5

f(5) = -2(5) + 3 = -10 + 3 = -7

The table of values is thus shown below with x taking a column and f(x) taking the other column

We have this as;