Question

Wich Tures eine neuncuon graphed below!6(3.5)55 4 3310.2)1-3 -2 -142 3 4 5 6 7X-2-3O y = x, y = 5O y = x + 2 y = 5O y=x, x = 5O y = x + 2; x = 5

Answer 1

The firs part of the given graph ihas a equation in the form y=mx+b (m is theslope, b is the y-intercpet))

To find the slope use the two given points inthe next formula:

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{5-2}{3-0}=\frac{3}{3}=1 \end{gathered}$

The y-intercept is the value of the fuctioon when the line crosses the y-axis (when x=0)

The first part has slop 1 nd y-intercept 2, the equation ofis:

$y=x+2$

The second part isa horizontal line, the general form of the ewuation of a horizontal line is y=a (a is the vy-alue of the line).

The second part has the equation:

$y=5$

Then, the rules that defined the given graph are: y=x+2, y=5

Answer: Second option (y=x+2; y=5)