Determine which of the following graphs represent the equation below. also determine the y-intercept of the graph.

ANSWER

The graph in option D.

The y-intercept is


EXPLANATION.

The given function is



This function is of the form


Since

the graph of this function will approach positive infinity as the values of x increases without bounds.

This means the graph of this function rises dramatically as the values of x becomes bigger and bigger.

While the graph approaches zero for infinitely smaller values of x. This means that, the graph is asymptotic to the negative x-axis.

For the y-intercept of this graph, we put

into the function to obtain,



This will give us,



Therefore the correct answer is D.