3. (14 points) let $f(x)=e^{x}+2$\n(a) (2 points) find the range of $f$. write your answer in interval…

3. (14 points) let $f(x)=e^{x}+2$\n(a) (2 points) find the range of $f$. write your answer in interval notatio\nwrite your answer using interval notation:\nrange of $f(x)$:\n(b) (4 points) graph $f$ on the grid below. label the horizontal asym\ncepts on your graph.

3. (14 points) let $f(x)=e^{x}+2$\n(a) (2 points) find the range of $f$. write your answer in interval notatio\nwrite your answer using interval notation:\nrange of $f(x)$:\n(b) (4 points) graph $f$ on the grid below. label the horizontal asym\ncepts on your graph.

Answer

Explanation:

Step1: Analyze the range of (y = e^{x})

The exponential function (y = e^{x}) has a range of ((0,\infty)) because for any real - valued (x), (e^{x}>0).

Step2: Analyze the range of (y=e^{x}+2)

If (y = e^{x}+2), and we know that (e^{x}>0), then by adding 2 to each part of the inequality (e^{x}>0), we get (e^{x}+2>0 + 2).

Answer:

((2,\infty))