Question

Name:

Evaluating Linear
A) Evaluate each function at the specified value.
1) f(x) = 7x-5; x = 6
ction

Answer 1

For the linear function
`\(f(x) = 7x - 5\),` when
`\(x = 6\),` the evaluation is
`\(f(6) = 37\).` Substituting 6 for
`\(x\)` results in a function value of 37.

To evaluate the linear function
`\(f(x) = 7x - 5\)` at the specified value
`\(x = 6\),`substitute
`\(x\)` with 6 in the expression. This results in:

`\[ f(6) = 7(6) - 5 \]`

`\[ f(6) = 42 - 5 \]`

`\[ f(6) = 37 \]`

Therefore, when \(x\) is equal to 6, the function \(f(x)\) yields a value of 37. This process involves replacing the variable \(x\) in the function with the given value (in this case, 6) and simplifying the expression.

The linear function is in the form
`\(f(x) = mx + b\),` where
`\(m\)` is the slope and
`\(b\)` is the y-intercept. In this specific function, the slope is 7, and the y-intercept is -5. When
`\(x\)` is set to 6, the function calculates a value of 37, indicating that the corresponding y-value on the graph is 37. This process of evaluating functions at specific values is crucial for understanding the behavior of functions and their outputs for different inputs.