Determine if the function is an exponential function.  
If so, identify the power & base, then evaluate for $x=4$.
$f\left(x\right)=3{\left(1.5\right)}^x$

• A. Exponential function, $f\(\left\)(4\(\right\))=410.06$
• B. Exponential function, $f\(\left\)(4\(\right\))=15.19$
• C. Not an exponential function
• D. Exponential function, $f\left(4\right)=18$

Answer: (B)

Verified step by step guidance

1. 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.
2. Determine the value of \(x\) at which you need to evaluate the function. This value is usually given in the problem or specified as the input.
3. Substitute the given value of \(x\) into the exponential function. This means replacing every occurrence of \(x\) in the expression \(a^{x}\) with the given number.
4. Apply the exponentiation operation by raising the base \(a\) to the power of the substituted exponent. This involves multiplying the base by itself as many times as indicated by the exponent.
5. Simplify the expression to find the value of the function at the given \(x\). This may involve calculating powers or using properties of exponents if the exponent is negative or a fraction.