Which is the graph of the identity function?

Question

(1 point)
Responses

A diagonal line is graphed on the coordinate plane. It passes through points left parenthesis negative 2 comma negative 2 right parenthesis, left-parenthesis negative 1 comma negative 1 right-parenthesis, left parenthesis 0 comma 0 right parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left parenthesis 2 comma 2 right parenthesis.
Image with alt text: A diagonal line is graphed on the coordinate plane. It passes through points left parenthesis negative 2 comma negative 2 right parenthesis, left-parenthesis negative 1 comma negative 1 right-parenthesis, left parenthesis 0 comma 0 right parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left parenthesis 2 comma 2 right parenthesis.

A v-shaped graph is shown on the coordinate plane. It passes through the points left-parenthesis negative 2 comma 2 right-parenthesis, left-parenthesis negative 1 comma 1 right-parenthesis, left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma 2 right-parenthesis.
Image with alt text: A v-shaped graph is shown on the coordinate plane. It passes through the points left-parenthesis negative 2 comma 2 right-parenthesis, left-parenthesis negative 1 comma 1 right-parenthesis, left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma 2 right-parenthesis.

A horizontal line is graphed on the coordinate plane. Points are shown on the line at x-values of negative 2, negative 1, 0, 1 and 2. The point left parenthesis 0 comma c right parenthesis is labeled.
Image with alt text: A horizontal line is graphed on the coordinate plane. Points are shown on the line at x-values of negative 2, negative 1, 0, 1 and 2. The point left parenthesis 0 comma c right parenthesis is labeled.

A function is graphed on the coordinate plane that consists of two curves.

Answer 1

The graph of the identity function is a diagonal line that passes through points where the x-coordinate is equal to the y-coordinate, such as $(-2,-2)$, $(-1,-1)$, $(0,0)$, $(1,1)$, and $(2,2)$. Therefore, the correct response is the first option:

A diagonal line is graphed on the coordinate plane. It passes through points $(-2,-2)$, $(-1,-1)$, $(0,0)$, $(1,1)$, and $(2,2)$.