Question

The graph of a function is shown below.

Answer 1

Answer:  The correct option is (C) tex]y=3x-2.[/tex]

Step-by-step explanation:  We are given to select the equation that represents the graphed function.

From the graph, we see that

the function f(x) is a straight line passing through the points (1, 1) and (2, 4).

So, the slope of the line will be

$m=\dfrac{4-1}{2-1}\\\\\Rightarrow m=\dfrac{3}{1}\\\\ \Rightarrow m=3.$

Also, since the line passes through the point (1,1), so the equation of the line is given by

$y-1=m(x-1)\\\\\Rightarrow y-1=3(x-1)\\\\\Rightarrow y-1=3x-3\\\\\Rightarrow y=3x-2.$

Thus, the equation of the graphed function is $y=3x-2.$

Option (C) is CORRECT.

Answer 2

Y = 3x - 2

The graph crosses the y-axis at -2, which means the function must end in -2. Also, for every 1 value for x increases, it increases by 3 y values. This gives it a slope of 3, which gives you the number attached to the x.