Scelta multipla
Determine if the function is an exponential function.
If so, identify the power & base, then evaluate for .
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11. Inverse, Exponential, & Logarithmic Functions
Exponential Functions
Scelta multipla
Determine if the function is an exponential function.
If so, identify the power & base, then evaluate for .
A
Exponential function,
B
Exponential function,
C
Not an exponential function
D
Exponential function,
Guida verificata passo dopo passo1
Identify the exponential function you need to evaluate. An exponential function generally has the form \(f(x) = a^{x}\), where \(a\) is the base and \(x\) is the exponent.
Substitute the given value of \(x\) into the function. For example, if you need to evaluate \(f(3)\), replace \(x\) with 3 in the expression \(a^{x}\) to get \(a^{3}\).
Calculate the power by multiplying the base \(a\) by itself \(x\) times. For instance, \(a^{3} = a \times a \times a\).
If the exponent is zero, recall the rule that any nonzero base raised to the zero power equals 1, i.e., \(a^{0} = 1\).
If the exponent is negative, use the rule \(a^{-x} = \frac{1}{a^{x}}\) to rewrite the expression as a reciprocal with a positive exponent before evaluating.
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