What are the intercepts of the function graphed below?
(1 point)
Responses
The x-intercept is at (2,0)
and the y-intercept is at (0, 0.5)
The x-intercept is at open paren 2 comma 0 close paren and the y-intercept is at (0, 0.5)
The x-intercept is at (0.5,0)
and the y-intercept is at (0, 2)
The x-intercept is at open paren 0 point 5 comma 0 close paren and the y-intercept is at (0, 2)
The x-intercept is at (−2,0)
and the y-intercept is at (0, 0.5)
The x-intercept is at open paren negative 2 comma 0 close paren and the y-intercept is at (0, 0.5)
The x-intercept is at (0.5,0)
and the y-intercept is at (0, −2)
The x-intercept is at (2,0) and the y-intercept is at (0, 0.5)
The correct answer is:
The x-intercept is at (2,0) and the y-intercept is at (0, 0.5)
To find the intercepts of the function graphed below, we first need to understand what the x-intercept and y-intercept mean.
The x-intercept is the point on the graph where the function intersects the x-axis. In other words, it is the value of x when y is equal to zero. To find the x-intercept, we can set y equal to zero and solve for x.
The y-intercept is the point on the graph where the function intersects the y-axis. It is the value of y when x is equal to zero. To find the y-intercept, we can set x equal to zero and solve for y.
Looking at the answer choices, we can see that the x-intercept is given as (2,0), (0.5,0), (-2,0), and (0.5,0), while the y-intercept is given as (0,0.5), (0,2), (0,0.5), and (0,-2).
Based on these answer choices, the correct response is:
The x-intercept is at (2,0) and the y-intercept is at (0,0.5).