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.

Was ist die allgemeine Form einer Exponentialfunktion?

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

What is the end behavior of the graph of the exponential function \( f(x)=b^{x} \) when \( 0<b<1 ? \) (1 point) \( f(x) \rightarrow \infty \) as \( x \rightarrow \infty, f(x) \rightarrow 0 \) as \( x \rightarrow-\infty \) \( f(x) \rightarrow 0 \) as \( x \rightarrow \infty, f(x) \rightarrow \infty \) as \( x \rightarrow-\infty \) \( f(x) \rightarrow \infty \) as \( x \rightarrow \infty ; f(x) \rightarrow-\infty \) as \( x \rightarrow 0 \) \( f(x) \rightarrow \infty \) as \( x \rightarrow 0 ; f(x) \rightarrow-\infty \) as \( x \rightarrow-\infty \)

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.)

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.