question 5 for the function f(x)=8e^x, calculate the following function values: f(-3)= f(-1)= f(0)= f(1)=…

Explanation:

Step1: Substitute $x = - 3$

Substitute $x=-3$ into $f(x)=8e^{x}$, we get $f(-3)=8e^{-3}=8\times\frac{1}{e^{3}}=\frac{8}{e^{3}}\approx\frac{8}{20.0855}\approx0.398$

Step2: Substitute $x = - 1$

Substitute $x = - 1$ into $f(x)=8e^{x}$, we get $f(-1)=8e^{-1}=8\times\frac{1}{e}=\frac{8}{e}\approx\frac{8}{2.7183}\approx2.943$

Step3: Substitute $x = 0$

Substitute $x = 0$ into $f(x)=8e^{x}$, since $e^{0}=1$, then $f(0)=8\times1 = 8$

Step4: Substitute $x = 1$

Substitute $x = 1$ into $f(x)=8e^{x}$, we get $f(1)=8e^{1}=8e\approx8\times2.7183 = 21.7464$

Step5: Substitute $x = 3$

Substitute $x = 3$ into $f(x)=8e^{x}$, we get $f(3)=8e^{3}=8\times20.0855 = 160.684$

Answer:

$f(-3)=\frac{8}{e^{3}}\approx0.398$ $f(-1)=\frac{8}{e}\approx2.943$ $f(0)=8$ $f(1)=8e\approx21.7464$ $f(3)=8e^{3}\approx160.684$