Chapter 1: Problem 10
In Exercise \(9-12,\) write an equation for (a) the vertical line and (b) the horizontal line through the point \(P .\) $$P(-1,4 / 3)$$
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Domain and Range Suppose that \(a \neq 0, b \neq 1,\) and \(b>0\) . \((\mathbf{a}) y=a\left(b^{c-x}\right)+d \quad(\mathbf{b}) y=a \log _{b}(x-c)+d\)Determine the domain and range of the function.
In Exercises \(27-30\) , give the measure of the angle in radians and degrees. Give exact answers whenever possible. $$\sin ^{-1}(0.5)$$
In Exercises 48 and 49 , assume that the graph of the exponential function \(f(x)=k \cdot a^{x}\) passes through the two points. Find the values of \(a\) and \(k .\) $$(1,1.5),(-1,6)$$
True or False If \(4^{3}=2^{a},\) then \(a=6 .\) Justify your answer.
In Exercises \(27-30\) , give the measure of the angle in radians and degrees. Give exact answers whenever possible. $$\tan ^{-1}(-5)$$
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