Question

What function is represented by the graph?

Answer 1

A

Explanation:

The equation of the horizontal line is y = 4 : x ≥ 0

the equation of the oblique line, since it passes through the origin is of the form

y = mx ( m is the slope )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 1, - 2 ) ← 2 points on the line

m =
`(-2-0)/(-1-0)` =
`(-2)/(-1)` = 2

y = 2x : x < 0