Which of the following functions describes the graph of h(x)? Rational function with one piece decreasing from the left asymptotic to y equals 2 and passing through the point negative 2 comma 0 and going down asymptotic to x equals negative 1 and another piece decreasing from the left asymptotic to x equals negative 1 and passing through the point 1 comma 3 and going down asymptotic to y equals 2 h of x is equal to 2 x over the quantity x plus 1 end quantity h of x is equal to 2 x over the quantity x minus 1 end quantity h of x is equal to the quantity 2 x plus 4 end quantity over the quantity x minus 1 end quantity h of x is equal to the quantity 2 x plus 4 end quantity over the quantity x plus 1 end quantity

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

What is a function?

In Mathematics, a function can be defined as a mathematical expression which can be used to define and show the relationship that exist between two or more variables in a data set.

By critically observing the graph which models the function h(x) (see attachment), we can infer and logically deduce that the asymptote is at x = -1. Thus, its domain is also x = -1 and the x-intercept is at -2.

At x = -2, the function h(x) should be equal to zero (0) and this is satisfied by only this function:

h(x) = (2x + 4)/(x + 1)

h(-2) = (2(-2) + 4)/(-2 + 1)

h(-2) = 0/-1

h(-2) = 0.

Read more on function here: brainly.com/question/4246058

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