Question

11. Which could be the table of values that was used to graph the function of x shown below?

Answer 1

To graph the function of x from a table, plot the given data pairs on the graph showing the dependence of y on x. For the linear equation y = 9 + 3x, plug in x-values to get y-values and connect the points on the graph. The points provided do not match this particular equation.

Step-by-step explanation:

The student has asked which table of values could have been used for graphing the function of x as shown in the prompt. When plotting the points from a table onto a graph, you are creating a visual representation of the dependence of y on x. Specifically, if we consider the linear function y = 9 + 3x, we can construct a table of values by substituting different x values into the equation and calculating the corresponding y values.

For example, if we substitute x = 1 into the equation, we get y = 9 + 3(1) = 12, which gives us the point (1,12). Repeating this process with different x values will produce a series of data pairs, such as (2,15), (3,18), etc. These points are then plotted on the graph and connected, typically with a straight line for a linear function, demonstrating the graphical dependence of y on x.

It is important to note that the table of values provided in the prompt: (1,5), (2,10), (3,7), and (4,14), does not fit the linear function y = 9 + 3x, as the y values do not correspond with the y-values generated by this equation. So, a different function or relationship between x and y must be used to graph the table provided.

Answer 2

D

Step-by-step explanation:

Here, we want to select the possible table of the given line

Let us look at the intercepts

On the x-axis, we have an intercept at x = 2

On the y-axis, we have an intercept at y = -4

This means that when y = 0, x = 2 and when x = 0, y = -4

Looking at the options, the table that supports this answer is the table of option D