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.

Representar graficomente: a) \( f(x)=|x-1|+|x+2| \)

Begin with the graph of \( y=e^{x} \). Use transformations to graph the function below. Then determine its domain, range, and horizontal asymptote. \( f(x)=-8-e^{-x} \) 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 \( f(x)=-8-e^{-x} \) ? (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.)

Sketch the graph of a polynomial function with roots at \( 2 \) (multiplicity 1), \( -3 \) (multiplicity 2), and \( 4 \) (multiplicity 3). Describe how each root affects the shape of the graph.

Defina como vizinhranca os confunt \( ] 2,32 ; 2,48[ \) \( \{x \in \mathbb{R}:|x+3|<0,001\} \)