Question

Evaluate the function f(x) = -3x^2 - 7x Find f(7)

Answer 1

f(7) = -196

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Function Notation

Explanation:

Step 1: Define

f(x) = -3x² - 7x

f(7) is x = 7

Step 2: Evaluate

1. Substitute in x: f(7) = -3(7)² - 7(7)
2. Exponents: f(7) = -3(49) - 7(7)
3. Multiply: f(7) = -147 - 49
4. Add: f(7) = -196

Answer 2

The function has a value of f(7) = -196.

Explanation:

In mathematics, we can define a value of a function if we are given a value for the unknown variable. In this case, our unknown variable is x.

Therefore, we see that our function is f(x) and we want to find f(7). This means we can change the value of x to be 7.

Firstly, we'll define our function:

`f(x) = -3x^2 - 7x`

Then, substitute f(7) for f(x).

`f(7) = -3x^2 - 7x`

Replace all of the values of x with 7.

`f(7) = -3(7)^2 - 7(7)`

Simplify using PEMDAS.

`f(7) = -3(49) - 49`

Distribute the -3 (multiply -3 and 49).

`f(7) = -147 - 49`

Simplify by subtracting the two values.

`\boxed{f(7) = -196}`

The final answer is f(7) = -196.