State the given functions
The graph represented the first function and the second function is given as y = 2x+7
Find the value of y when x = 4 in the first function
From the graph, we can locate x = 4, and find the corresponding value of y.
To achieve this, from x = 4, trace to the line, and trace to the y-axis.
It can be observed from the graph that when x = 4, y = 4
Find the value of y when x = 4 in the second function
From the second function, we can find the value of y when x = 4.
To achieve this, put x = 4 in the equation to find the value of y as shown below:
[tex]\begin{gathered} y=2x+7 \\ x=4 \\ y=2(4)+7 \\ y=8+7 \\ y=15 \end{gathered}[/tex]
Find the difference between the values of y when x =4 in the two functions
When x = 4, the value of y from the given graph is 4, and the value of y in the given equation of the second is 15
The difference is
[tex]15-4=11[/tex]
Hence, the difference between the y-values of the two functions at x = 4 is 11
