Pauline Y.

asked • 09/17/23

Identify the graph with the following properties.

Identify the graph with the following properties.


lim𝑥→1+𝑓(𝑥)=∞, lim𝑥→1−𝑓(𝑥)=3, lim𝑥→4𝑓(𝑥)=−∞


Choose the corresponding graph.


a. A line graph shows the X and Y axis with two lines on the graph. The vertical axis is labeled as Y, ranging from negative 1 to 3, at an equal interval of 1. The horizontal axis is labeled as X, ranging from 0 to 5, at an equal interval of 1. A line starts at (2,3) with dark circle and it rises downwards up to (4,2) with small circle and ends at (6,2). The second straight lines begin at (2, minus 1) with small circle and ends with the point at (negative 1, negative 1). one small scatter circle plot in the value (4,0.5) approximately.


b.A graph shows the X, Y axis and a curve line attach with one straight line on the graph. The vertical axis labeled as Y, ranging from negative 10 to 10, at an equal interval of 5. The horizontal axis labeled as X, ranging the values from o to 4, at an equal interval of 1. A curve line begins from the value (1,15), it rises downwards to (1.5, 2) and moves to the right value to 3 in X, again it moves downwards up to (4, negative 15) and a curve line rises upward to 5 in X. One straight line begins from (1,3) it meets the curve line at the point ((1,3) with small circle.


c.The graph shows the X, Y axis, a horizontal and vertical asymptote on the graph. A vertical asymptotes axis labeled as Y, ranging the values from negative 30 to 30, at an equal interval of 10. A horizontal asymptotes axis labeled as X, ranging the values from 0 to 4, at an equal interval of 1. A vertical asymptote line begins at (0,0) and rises upwards at the point (1,40) and it rises downward slightly moving to the right ends at (2,0) and plotted the dark small circle at 3 in X. Then begins the curve at 4 in X and rises downwards at the point (3, negative 40) on the graph.


d.A line graph shows the two lines on the graph. The vertical line is labeled 'Y’, ranging the values from 0 to 6, at an equal interval of 2. the horizontal line is labeled 'X', ranging the values from 0 to 4, at an equal interval of 1. The first line begins at 2 in y and it get rises downwards from the point on (1, 2) to 3 in x and second line begin with small scatter point at (3, 4) and ends with in some distance.


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