Solved on Sep 05, 2023

Evaluate f(x)=(x5)2f(x)=(x-5)^{2} at x=3x=3, then graph the function using the point (3,f(3))(3, f(3)).

STEP 1

Assumptions1. The function is f(x)=(x5)f(x)=(x-5)^{} . We need to evaluate the function for x=3x=3
3. We need to use the result to graph the function

STEP 2

First, we need to substitute x=x= into the function f(x)=(x5)2f(x)=(x-5)^{2}.
f()=(5)2f() = (-5)^{2}

STEP 3

Now, calculate the value inside the brackets.
f(3)=(2)2f(3) = (-2)^{2}

STEP 4

Calculate the square of -2.
f(3)=4f(3) =4

STEP 5

Now that we have the value of f(3)f(3), we can form an ordered pair (3,f(3))(3, f(3)).
(3,f(3))=(3,4)(3, f(3)) = (3,4)

STEP 6

To graph the function, we plot the point (3,4) on a coordinate plane. The x-coordinate is3 and the y-coordinate is4.

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