Which graph represents the function f of x is equal to the fraction with numerator 2 and denominator x minus 1 plus 4 ?
Answer
A
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals negative 4 as x approaches negative infinity from the right and approaches negative infinity as x approaches 1 from the left. Its turning point is near (negative 1 comma negative 5). The branch on the right approaches infinity as x approaches 1 from the right and approaches y equals negative 4 as x approaches infinity from the left. Its turning point is near (2 comma negative 3).
B
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals negative 4 as x approaches negative infinity from the right and approaches negative infinity as x approaches negative 1 from the left. Its turning point is near (negative 3 comma negative 5). The branch on the right approaches infinity as x approaches negative 1 from the right and approaches y equals negative 4 as x approaches infinity from the left. Its turning point is near (0 comma negative 2).
C
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals 4 as x approaches negative infinity from the right and approaches negative infinity as x approaches negative 1 from the left. Its turning point is near (negative 3 comma 3). The branch on the right approaches infinity as x approaches negative 1 from the right and approaches y equals 4 as x approaches infinity from the left. Its turning point is near (0 comma negative 6).
D
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals 4 as x approaches negative infinity from the right and approaches negative infinity as x approaches negative 1 from the left. Its turning point is near (negative 3 comma 3). The branch on the right approaches infinity as x approaches negative 1 from the right and approaches y equals 4 as x approaches infinity from the left. Its turning point is near (0 comma negative 6).