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Exponential Functions from a Graph Find the exponential function $f(x)=a^{x}$ whose graph is given.(Graph cannot copy)

$$f(x)=\left(\frac{1}{4}\right)^{x}$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 1

Exponential Functions

Functions

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University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

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00:46

Exponential Functions from…

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00:37

Determine the exponential …

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00:44

01:27

Graph each exponential fun…

01:38

01:14

we want to find the exponential function. F of X is equal to a the X which gives this graph so we know that the point to 1/16 is on the graph or F of two is equal to 1/16. So let's write that down. FFC was equal to 1/16 but by the definition of f of X, that is also equal to a square. Okay, so we're taking the square root of both sides. We get plus or minus one over or is equal to a well, it has to be positive because otherwise this craft would be negative in some places, so we have A is actually just equal to positive 1/4. So then f of X is equal to 1/4 to the X.

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