91Ó°ÊÓ

Graph the function and determine whether the function is one-to-one using the horizontal-line test. $$f(x)=1-x^{2}$$

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 \(a0\) are true, then \(a cb c\) is true. [ 1.6]_____________,.

Express as a single logarithm and, if possible, simplify. $$\log _{a} 75+\log _{a} 2$$

Express as a single logarithm and, if possible, simplify. $$\log 0.01+\log 1000$$

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. $$f(x)=3^{4-x}$$

Convert to a logarithmic equation. \(5^{-3}=\frac{1}{125}\)

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 positive numbers \(M\) and \(N\) and any logarithm base \(a, \log _{a} M N=\log _{a} M+\log _{a} N .[5.4]\)_____________,.

Graph the function and determine whether the function is one-to-one using the horizontal-line test. $$f(x)=|x|-2$$

Solve the logarithmic equation algebraically. Then check using a graphing calculator. $$\ln x=-2$$

Solve the logarithmic equation algebraically. Then check using a graphing calculator. $$\log _{64} \frac{1}{4}=x$$