On Your Own 9. A bacteria population \( y \) after \( x \) days can be represented by an exponential function whose graph passes through \( (0,100) \) and \( (1,200) \). a. Write a function that represents the population. b. Find the population after 6 days. Does this bacteria population grow faster than the bacteria population in Example 5 ? Explain.

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.)

¿Cómo se define el factor de crecimiento en una función exponencial?

Let \( f(x)=\frac{2 x^{2}-7 x+3}{2 x^{2}-7 x+5} \) This function has: 1) Ay intercept at the point 2) \( x \) intercepts at the point(s) 3) Vertical asymptotes of 4) Horizontal asymptote of asymptote first)

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. ( \( 4 x \mid x \geq\} \).

The function \( f(x)=x^{2}-8, x \geq 0 \) is one-to-one. (a) Find the inverse of \( f \) and check the answer. (b) Find the domain and the range of \( f \) and \( f^{-1} \). (c) Graph \( f, f^{-1} \), and \( y=x \) on the same coordinate axes. (a) \( f^{-1}(x)=\square \) (Simplify your answer. Use integers or fractions for any numbers in the expression.