Use the following function rule to find f(11).

f(x)	 = 	
(	
x
 − 	11
)
2
 

f(11) =

To find \( f(11) \) using the given function rule \( f(x) = (x - 11)^2 \), substitute \( x = 11 \) into the function:

\[
f(11) = (11 - 11)^2
\]

Simplify the expression:

\[
f(11) = (0)^2 = 0
\]

So, \( f(11) = 0 \).

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. What is \( f(12) \) using the same function rule?
2. How does the value of \( f(x) \) change as \( x \) increases or decreases?
3. What does the graph of the function \( f(x) = (x - 11)^2 \) look like?
4. How can we determine the minimum value of \( f(x) = (x - 11)^2 \)?
5. What is the solution to the equation \( f(x) = 16 \) for this function?

**Tip:** When dealing with quadratic functions, like \( f(x) = (x - h)^2 \), the vertex of the parabola gives the minimum or maximum value depending on the sign of the quadratic term.

Use the following function rule to find f(11): f(x) = (x − 11)^2.

Discover how to solve the quadratic function f(x) = (x − 11)^2 by finding f(11) with a clear step-by-step explanation. This problem introduces key algebraic concepts, including quadratic functions and the vertex of a parabola. Ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation