Be sure you understand the use of function notation by working this exercise.
f(x) = x(9x − 4)
Determine the following.
(a)    f(5)

(b)
f(−5)

(c)    f(0)

(d)    f(b)

The given function is:

\[
f(x) = x(9x - 4)
\]

We will now calculate \( f(x) \) for the specified values of \( x \).

### (a) \( f(5) \)

\[
f(5) = 5(9(5) - 4) = 5(45 - 4) = 5(41) = 205
\]

### (b) \( f(-5) \)

\[
f(-5) = (-5)(9(-5) - 4) = (-5)(-45 - 4) = (-5)(-49) = 245
\]

### (c) \( f(0) \)

\[
f(0) = 0(9(0) - 4) = 0(-4) = 0
\]

### (d) \( f(b) \)

\[
f(b) = b(9b - 4)
\]

This is the general form of the function evaluated at \( b \).

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Would you like further details or have any questions?

### 5 Related Questions:
1. What happens when you evaluate \( f(x) \) for negative values of \( x \)?
2. How can you factor \( f(x) = x(9x - 4) \) further?
3. Can you determine the x-intercepts of \( f(x) \)?
4. What does the graph of \( f(x) = x(9x - 4) \) look like?
5. How would the value of \( f(b) \) change if \( b \) were squared?

**Tip:** Always substitute values carefully into function expressions to avoid sign mistakes.

Be sure you understand the use of function notation by working this exercise.
f(x) = x(9x − 4)
Determine the following.
(a)    f(5)
(b)    f(−5)
(c)    f(0)
(d)    f(b)

Understand how to evaluate the polynomial function f(x) = x(9x - 4) for different values of x. This exercise covers essential algebraic concepts, including function notation and polynomial functions, making it suitable for students in Grades 8-10.

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