use the coordinates of the three points of the graph of y = e^x to determine the corresponding points that…

use the coordinates of the three points of the graph of y = e^x to determine the corresponding points that lie on the graph of f(x)=e^x - 5. points that lie on the graph of y = e^x (-1, 1/e) (0,1) (1,e) corresponding points that lie on the graph of f(x)=e^x - 5 (type ordered pairs, using integers or fractions. simplify your answers. type exact answers in terms of e.) use the graphing tool to graph the function.

use the coordinates of the three points of the graph of y = e^x to determine the corresponding points that lie on the graph of f(x)=e^x - 5. points that lie on the graph of y = e^x (-1, 1/e) (0,1) (1,e) corresponding points that lie on the graph of f(x)=e^x - 5 (type ordered pairs, using integers or fractions. simplify your answers. type exact answers in terms of e.) use the graphing tool to graph the function.

Answer

Explanation:

Step1: For point $(-1,\frac{1}{e})$

Substitute $x = - 1$ into $f(x)=e^{x}-5$, we get $y = e^{-1}-5=\frac{1}{e}-5$. So the point is $(-1,\frac{1}{e}-5)$.

Step2: For point $(0,1)$

Substitute $x = 0$ into $f(x)=e^{x}-5$, we get $y = e^{0}-5=1 - 5=-4$. So the point is $(0,-4)$.

Step3: For point $(1,e)$

Substitute $x = 1$ into $f(x)=e^{x}-5$, we get $y = e^{1}-5=e - 5$. So the point is $(1,e - 5)$.

Answer:

$(-1,\frac{1}{e}-5),(0,-4),(1,e - 5)$