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1. Choose the best descriptor for the graph of f(x)=e^x+5.

A. It increases and goes through the point (0,6).

B. It decreases and goes through the point (0,6).

C. It increases and goes through the point (5,1).

D. It decreases and goes through the point (5,1).

Respuesta :

Starting from a parent function [tex] f(x) [/tex], if you add a constant to the whole function, i.e. you perform the transformation

[tex] f(x) \to f(x)+k [/tex]

you shift the graph of the parent function by [tex] k [/tex] units, upwards if [tex] k [/tex] is positive, downwards otherwise.

In this case, so, you're shifting, the graph of [tex] e^x [/tex] 5 units upwards. Since the parent function passes through the point [tex] (0,1) [/tex], because [tex] e^0=1 [/tex], the shifted graph mantains the same [tex] x [/tex] coordinate, but the [tex] y [/tex] coordinate is increased by 5, because of the 5 units upwards shift.

Answer:

It decreases and goes through the point (0,6)

Step-by-step explanation:

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