given the following exponential function below, what is the value of f(-1.25)? (round your answer to the…

Explanation:

Step1: Substitute x value

Substitute $x = - 1.25$ into $f(x)=e^{2x}$. So we get $f(-1.25)=e^{2\times(-1.25)}$.

Step2: Calculate exponent

Calculate $2\times(-1.25)=-2.5$. Then $f(-1.25)=e^{-2.5}$.

Step3: Evaluate exponential

We know that $e^{-2.5}=\frac{1}{e^{2.5}}$. Since $e^{2.5}\approx12.18249$, then $\frac{1}{e^{2.5}}\approx\frac{1}{12.18249}\approx0.08$.

Answer:

0.08