Practice Problems
\(\textbf{1)}\) Evaluate \(y=3(4)^x\) when \(x=-2\).
\(\text{The answer is } y=\displaystyle \frac{3}{16} \)
\(\,\,\,\,\,y=3 \cdot (4)^{-2}\)
\(\,\,\,\,\,y=3 \cdot \displaystyle\frac{1}{4^2}\)
\(\,\,\,\,\,y=3 \cdot \displaystyle\frac{1}{16}\)
\(\,\,\,\,\,\)The answer is \( y=\displaystyle \frac{3}{16} \)
\(\textbf{2)}\) Evaluate \(y=\frac{1}{3}(2)^x\) when \(x=3\).
The answer is \( y=\displaystyle \frac{8}{3} \)
\(\,\,\,\,\,\,y=\frac{1}{3}(2)^3\)
\(\,\,\,\,\,\,y=\frac{1}{3} \cdot 8\)
\(\,\,\,\,\,\,\text{The answer is } y=\displaystyle \frac{8}{3} \)
\(\textbf{3)}\) Evaluate \(f(x)=-3^x\) when \(x=-2\).
The answer is \( f(-2)=\displaystyle -\frac{1}{9} \)
\(\textbf{4)}\) Evaluate \(y=2\left(\frac{1}{2}\right)^x\) when \(x=1\).
The answer is \( y=1 \)
\(\textbf{5)}\) Evaluate \(y=\frac{3}{5}(2)^x\) when \(x=-1\).
The answer is \( y=\displaystyle \frac{3}{10} \)
\(\textbf{6)}\) Evaluate \(f(x)=.3(2)^x\) when \(x=2\).
The answer is \( f(2)=1.2 \)
\(\textbf{7)}\) Evaluate \(y=2(4)^x\) when \(x=-1\).
The answer is \( y=\displaystyle \frac{1}{2} \)
\(\textbf{8)}\) Evaluate \(f(x)=-3(5)^x\) when \(x=2\).
The answer is \( f(2)=-75 \)
\(\textbf{9)}\) Evaluate \(y=2^x\) when \(x=3\).
The answer is \( y=8 \)
\(\textbf{10)}\) Evaluate \(y=1.2(1.4)^x\) when \(x=0\).
The answer is \( y=1.2 \)
\(\textbf{11)}\) Evaluate \(y=3(4)^x\) when \(x=\frac{1}{2}\).
The answer is \( y=6 \)
\(\textbf{12)}\) Evaluate \(y=8(9)^x\) when \(x=-\frac{1}{2}\).
The answer is \( y=\frac{8}{3} \)
\(\textbf{13)}\) Evaluate \(y=2(4)^x\) when \(x=-\frac{1}{2}\).
The answer is \( y=1 \)
\(\textbf{14)}\) Evaluate \(y=3\left(\frac{1}{4}\right)^x\) when \(x=\frac{1}{2}\).
The answer is \( y=\frac{3}{2} \)
\(\textbf{15)}\) Evaluate \(y=6\left(\frac{1}{9}\right)^x\) when \(x=-\frac{1}{2}\).
The answer is \( y=18 \)
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