Identify the graph of the rational function with an x -intercept at open paren negative 4 comma 0 close paren and open paren 4 comma 0 close paren , a vertical asymptote at x is equal to 2 , and an oblique asymptote at y is equal to x plus 2
Answer
A
Image with description On a coordinate plane, the x and y axes list negative 10 to 10. The graph has two smooth curves. One curve starts in the fourth quadrant, goes through (0 comma negative 8), and (negative 2 comma negative 3), intersects the x-axis at (negative 4 comma 0), moves left, and goes through (negative 9 comma 6). Another curve starts in the fourth quadrant, goes through (negatve 8 comma negative 8), intersects the x-axis at (4 comma 0), goes up, and passes through (3 comma 7).
B
Image with description On a coordinate plane, the x and y axes list negative 10 to 10. The graph has two smooth curves. One curve starts in the third quadrant, goes through (negative 8 comma negative 8), and (negative 5 comma negative 3), intersects the x-axis at (negative 4 comma 0), moves up, and goes through (negative 3 comma 6). Another curve starts in the third quadrant, intersects the y-axis at (0 comma negative 8), goes up, and passes through (4 comma 0). It further moves up and passes through (9 comma 6).
C
Image with description A coordinate plane where both the horizontal x-axis and vertical y-axis range from negative 10 to 10 with grid lines and labels every 5 units. The graph has two smooth curves separated by a vertical gap. The left curve extends from the bottom left, intersecting the x-axis at approximately negative 4 comma 0, and rises steeply to cross the y-axis at approximately 0 comma 7 before shooting upward. The right curve shoots upward from the bottom, intersecting the x-axis at approximately 4 comma 0, and curves more gradually up and to the right into the first quadrant.
D
Image with description On a coordinate plane, the x and y axes list negative 10 to 10. The graph has two smooth curves. One curve starts in the third quadrant, goes through (negative 3 comma negative 8), intersects the x-axis at (negative 4 comma 0), moves left, and goes through (negative 8 comma 8). Another curve starts in the fourth quadrant, goes through (negative 6 comma negative 8), intersects the x-axis at (4 comma 0), goes up, and passes through (0 comma 8).