Question

Which graph represents a linear function?

A coordinate plane is shown with a curved line that starts in the bottom left area of the graph, passing through the point -1 comma -5, curving to pass through the y-axis at 2.5, then curving up again to pass through the point 1 comma 5

A coordinate plane is shown with a line passing through the x-axis at negative 2 and the y-axis at negative 6.

A coordinate plane is shown with a parabola graphed in an upward U shape. The bottom of the parabola touches the y-axis at -10 and curves upward on both sides

A coordinate plane is shown with a wavy line that sits on the x-axis and moves across the graph in even up and down waves.

Answer 1

A linear function is a straight line. Therefore, the answer is #2.

Answer 2

2nd Option is correct.

Explanation:

We are given with four statements which describes a graph of a function.

We need to find the graph which represents the linear function.

Linear Function:

Linear functions are the functions whose graph are straight lines.

A linear function has the following form

y = f(x) = a + bx

A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

So, In graphs of 1st , 3rd and 4th Options are curves not a straight line.

Only 2nd Option has graph which is straight as mentioned in it that a line passing through two points.

Therefore, 2nd Option is correct.