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

Determine which of the following graphs represent

Ответ:

syd141

10.03.2022

ANSWER

The graph in option D.

The y-intercept is

EXPLANATION.

The given function is

$f(x) = 5( {2}^{x} )$

This function is of the form

$f(x) = a( {b}^{kx} ).$
Since
k 0

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
x = 0