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Practice Problems
\(\textbf{1)}\) Evaluate \(y=3(4)^x\) when \(x=-2\).
\(\textbf{2)}\) Evaluate \(y=\frac{1}{3}(2)^x\) when \(x=3\).
\(\textbf{3)}\) Evaluate \(f(x)=-3^x\) when \(x=-2\).
\(\textbf{4)}\) Evaluate \(y=2\left(\frac{1}{2}\right)^x\) when \(x=1\).
\(\textbf{5)}\) Evaluate \(y=\frac{3}{5}(2)^x\) when \(x=-1\).
\(\textbf{6)}\) Evaluate \(f(x)=.3(2)^x\) when \(x=2\).
\(\textbf{7)}\) Evaluate \(y=2(4)^x\) when \(x=-1\).
\(\textbf{8)}\) Evaluate \(f(x)=-3(5)^x\) when \(x=2\).
\(\textbf{9)}\) Evaluate \(y=2^x\) when \(x=3\).
\(\textbf{10)}\) Evaluate \(y=1.2(1.4)^x\) when \(x=0\).
\(\textbf{11)}\) Evaluate \(y=3(4)^x\) when \(x=\frac{1}{2}\).
\(\textbf{12)}\) Evaluate \(y=8(9)^x\) when \(x=-\frac{1}{2}\).
\(\textbf{13)}\) Evaluate \(y=2(4)^x\) when \(x=-\frac{1}{2}\).
\(\textbf{14)}\) Evaluate \(y=3\left(\frac{1}{4}\right)^x\) when \(x=\frac{1}{2}\).
\(\textbf{15)}\) Evaluate \(y=6\left(\frac{1}{9}\right)^x\) when \(x=-\frac{1}{2}\).
See Related Pages\(\)
\(\bullet\text{ Exponential Functions}\)
\(\,\,\,\,\,\,\,\,y=a(b)^x\)
\(\bullet\text{ Compound Interest}\)
\(\,\,\,\,\,\,\,\,A=P\left(1+\frac{r}{n} \right)^{nt}\,\,\,\,\,\,\,\,A=P e^{rt}\)
\(\bullet\text{ Half Life Questions}\)
\(\,\,\,\,\,\,\,\,A_t=A_0e^{kt}\)
\(\bullet\text{ Graphing Exponential Functions}\)
\(\,\,\,\,\,\,\,\,f(x)=2^{x-1}-2\,\, \)
\(\bullet\text{ Inverse of Exponential Functions}\)
\(\,\,\,\,\,\,\,\,f^{-1}(x)=\log_5(x-1)\)
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Topics cover Elementary Math, Middle School, Algebra, Geometry, Algebra 2/Pre-calculus/Trig, Calculus and Probability/Statistics. In the future, I hope to add Physics and Linear Algebra content.
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