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Question
classify the function as linear, quadratic, or exponential. g(x) = 10e^{x^{2} + 5} the function is
Step1: Recall function definitions
Linear: $g(x)=mx+b$ (x to first power); Quadratic: $g(x)=ax^2+bx+c$ (x squared, no exponent on variable in base); Exponential: $g(x)=ab^{kx}+c$ (variable in exponent).
Step2: Analyze given function
Given $g(x)=10e^{x^2}+5$, the variable $x$ is in the exponent (as $x^2$), fitting exponential form.
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exponential