QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
1. Which of the following are exponential functions?
\begin{aligned}
& \square f(x)= 10^{4 + 3 x} \\
& \text { - } f(x)=(- 5)^{x} \\
& \square f(x)=\left(\frac{1}{x}\right)^{6} \\
& \text { - } f(x)=\left(\frac{1}{4}\right)^{- 2 x}
\end{aligned}
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Step 1: Identify the general form of an exponential function.
An exponential function is a mathematical function of the form f(2$) = abx, where a and b are constants, with b > 0 and b ≠ 1.
Step 2: Analyze the first function.
f(x) = 10^{4+3x}
In this function, the base (10) is a constant, and the exponent is 4 + 3x. Since the exponent is a linear function of x, this is an exponential function.
Final Answer
- f(2$) = 10^(4 + 3x) - f(2$) = (- 5)^x - f(2$) = (1 / 4)^(- 2x)
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