Math  /  Algebra

QuestionWrite the domain and the range of the function as an inequality, using set notation, and using interval notation. Also describe the end behavior of the function or explain why there is no end behavior.
5. The graph of the quadratic function f(x)=x2+2f(x)=x^{2}+2 is shown.
6. The graph of the exponential function f(x)=3xf(x)=3^{x} is shown.

Studdy Solution
Describe the end behavior of the exponential function f(x)=3xf(x) = 3^x.
As xx \to \infty, f(x)=3xf(x) = 3^x \to \infty. As xx \to -\infty, f(x)=3x0f(x) = 3^x \to 0.
End behavior:limxf(x)=andlimxf(x)=0 \text{End behavior:} \quad \lim_{x \to \infty} f(x) = \infty \quad \text{and} \quad \lim_{x \to -\infty} f(x) = 0

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