Question

The graph of a linear function is given below. What is the zero of the function?

Answer 1

d- -2

Explanation:

Answer 2

Option (D)

Explanation:

Zero of any function is defined by the x-value of the function when y = 0.

Let the equation of the line given in the graph is,

y = mx + b

where m = slope of the line

b = y-intercept of the line

Slope of a line passing through
`(x_1,y_1)` and
`(x_2,y_2)` is defined by the formula,

m =
`(y_2-y_1)/(x_2-x_1)`

If the passes through (0, -3) and (-2, 0)

m =
`(-3-0)/(0+2)`

m =
`-(3)/(2)`

Fro the graph,

y-intercept 'b' = -3

Therefore, equation of the line is,

`y=-(3)/(2)x-3`

For y = 0,

`0=-(3)/(2)x-3`

`(3)/(2)x=-3`

x = -2

Therefore, option (D) will be the answer.