Question

In the following exercises,graph each of the following functions

$f\left(x\right)=-e^x$

Short answer

The result will be the graph of $f\left(x\right)=-e^x$as shown below

Step-by-step solution

Step 1.Given information

Consider the given quadratic equation $f\left(x\right)=-e^x$

To draw the graph,choose some random value(negative,positive or zero) for x and substitute them into the equation and to find$f\left(x\right)=-e^x$.

Step 2.Record the value of ordered pair in the table as shown below.

x	$f\left(x\right)=-e^x$	$(x,f(x\left)\right)$
-2	$-e^{-2}\approx -0.1$	$(-2,-0.1)$
-1	$-e^{-1}\approx -0.4$	$(-1,-0.4)$
0	$-e^0\approx -1$	$(0,-1)$
1	$-e^1\approx -2.7$	$(1,-2.7)$
2	$-e^2=-7.4$	$(2,-7.4)$

Step 3.Now plot ordered pair listed in the third column and connect them with a smooth curve.

The result will be the graph of$f\left(x\right)=-e^x$ as shown below