6. Exponential & Logarithmic Functions

Introduction to Exponential Functions

6. Exponential & Logarithmic Functions

Introduction to Exponential Functions

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Multiple Choice

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

Exponential function, $f\left(4\right)=410.06$

Exponential function, $f\left(4\right)=15.19$

Not an exponential function

Verified step by step guidance

Identify the general form of an exponential function, which is f(x) = a * b^x, where 'a' is a constant, 'b' is the base, and 'x' is the exponent.

Compare the given function f(x) = 3(1.5)^x with the general form. Here, 'a' is 3 and 'b' is 1.5, indicating that it is indeed an exponential function.

To evaluate the function at x = 4, substitute 4 for x in the function: f(4) = 3(1.5)^4.

Calculate the power (1.5)^4. This involves multiplying 1.5 by itself four times.

Multiply the result of (1.5)^4 by 3 to find f(4). This will give you the value of the function at x = 4.

6:13m

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Introduction to Exponential Functions practice set

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Struggling with College Algebra?

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

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Introduction to Exponential Functions practice set

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