Graphs of Exponential Functions · Exercise 55

Explore and discuss the graphs of $F\left(x\right)={\left(b\right)}^x$ and $G\left(x\right)={\left(\frac{1}{b}\right)}^x.$ Then make a conjecture about the relationship between the graphs of the functions $b^x$ and ${\left(\frac{1}{b}\right)}^x$ for any real number $b>0.$

OpenStax, Algebra and Trigonometry 2e · §6.2 Graphs of Exponential Functions · Exercise 55