91Ó°ÊÓ

Sketch the graph of the function and check the graph with a graphing calculator. Describe how each graph can be obtained from the graph of a basic exponential function. $$f(x)=-3^{x-2}$$

Convert to a logarithmic equation. \(e^{3}=t\)

Sketch the graph of the function and check the graph with a graphing calculator. Describe how each graph can be obtained from the graph of a basic exponential function. $$f(x)=3 \cdot 2^{x-1}+1$$

Solve the logarithmic equation algebraically. Then check using a graphing calculator. $$\log _{2}(10+3 x)=5$$

Express as a single logarithm and, if possible, simplify. $$\frac{1}{2} \log n+3 \log m$$

Express as a single logarithm and, if possible, simplify. $$\frac{1}{2} \log a-\log 2$$

Graph the function and determine whether the function is one-to-one using the horizontal-line test. $$f(x)=\frac{2}{x+3}$$

Solve the logarithmic equation algebraically. Then check using a graphing calculator. $$\log _{5}(8-7 x)=3$$

Sketch the graph of the function and check the graph with a graphing calculator. Describe how each graph can be obtained from the graph of a basic exponential function. $$f(x)=2 \cdot 3^{x+1}-2$$

Choose the correct name of the principle or rule from the given choices. $$principle of zero products$$ $$ multiplication principle for equations$$ $$product rule addition$$ $$ principle for inequalities$$ $$power rule multiplication$$ $$principle for inequalities$$ $$principle of square roots$$ $$quotient rule$$. For any real numbers \(a, b,\) and \(c:\) If \(a=b\) is true, then \(a c=b c\) is true. [ 1.5]_____________.