Which of the following exponential functions is an increasing function? Choose the correct answer below. \( f(x)=\left(\frac{5}{2}\right)^{x} \) \( f(x)=0.3^{x} \) \( f(x)=\left(\frac{2}{7}\right)^{x} \) \( f(x)=0.8^{x} \)

List the domain and the \( x \)-and \( y \)-intercepts of the following function. Graph the function. \( f(x)=\frac{5}{x} \)

The function \( f(x)=x^{3}-5 \) is one-to-one. (a) Find the inverse of \( f \) and check the answer. (b) Find the domain and the range of \( f \) and \( { }^{-1} \) (c) Graph \( f, f^{-1} \), and \( y=x \) on the same coordinate axes. (a) \( f^{-1}(x)=\sqrt[3]{x+5} \) (Simplify your answer. Use integers or fractions for any numbers in the expression.) (b) Find the domain of \( f \). Select the correct choice below and, if necessary, fill in the answer box to o B. The domain is \( \{x \mid x \neq \square \). C. The domain is \( \{x \mid x \leq\} \). D. The domain is the set of all real numbers. ( \( 4 x \mid x \geq\} \).

Which of the following is true about the graph of \( f(x)=\sqrt{x+1} \) ? It has no \( y \)-intercept. It has a minimum value at \( x=-1 \). It has a vertical asymptote at \( x=1 \). It has no x-intercept

Use transformations to graph the function. Determine the domain, range, horizontal asymptote, and \( y \)-intercept of the function. \( f(x)=3+5^{x-1} \) Use the graphing tool to graph the function. (For any answer boxes shown with the grapher, type an exact answer.) What is the domain of \( f(x)=3+5^{x-1} \) ? ( \( -\infty, \infty \) ) (Type your answer in interval notation.) What is the range of \( f(x)=3+5^{x-1} ? \) \( \square \) (Type your answer in interval notation.)

Jse transformations to graph the function. Determine the domain, range, horizontal asymptote, and \( y \)-intercept of the function. \( (x)=3+5^{x-1} \) Use the graphing tool to graph the function. What is the domain of \( f(x)=3+5^{x-1} \) ? (Type your answer in interval notation.)