Evaluate y = x² When x = 6: Finding the Output Value

What is the value of y for the function?

y=x2 y=x^2

of the point x=6 x=6 ?

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00:00 Set up and solve
00:03 Let's substitute appropriate values according to the given data, and solve for X
00:14 Let's calculate the exponent
00:17 And this is the solution to the question

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1

Understand the problem

What is the value of y for the function?

y=x2 y=x^2

of the point x=6 x=6 ?

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the value given for x x .
  • Step 2: Substitute the given x x value into the function.
  • Step 3: Calculate the resulting value for y y .

Now, let's work through each step:
Step 1: The problem states that x=6 x = 6 .
Step 2: Using the function y=x2 y = x^2 , we substitute x=6 x = 6 .
Step 3: Perform the calculation: y=62 y = 6^2 .

Calculating 62 6^2 , we get 36 36 .
Therefore, for the function y=x2 y = x^2 , when x=6 x = 6 , the value of y y is y=36 y = 36 .

3

Final Answer

y=36 y=36

Practice Quiz

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Complete:

The missing value of the function point:

\( f(x)=x^2 \)

\( f(?)=16 \)

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