Given f(x) = -2x - 3, find f(2).
Understand the Problem
The question is asking us to evaluate the function f(x) at a specific point, x = 2, using the given linear function f(x) = -2x - 3. We will substitute 2 into the function and calculate the value.
Answer
The value of $f(2)$ is $-7$.
Answer for screen readers
The final answer is $f(2) = -7$.
Steps to Solve
- Substitute the value of x
To find $f(2)$, we substitute $x = 2$ into the function $f(x) = -2x - 3$.
- Calculate f(2)
Substituting 2 gives: $$ f(2) = -2(2) - 3 $$
- Perform the multiplication
Calculate $-2(2)$: $$ -2(2) = -4 $$
- Complete the calculation
Now substitute back into the equation: $$ f(2) = -4 - 3 $$
- Final evaluation
Combine the terms: $$ f(2) = -7 $$
The final answer is $f(2) = -7$.
More Information
This function represents a linear equation, where the slope is -2 and the y-intercept is -3. Evaluating the function at a specific point provides insight into its behavior at that point.
Tips
- A common mistake is forgetting to multiply before performing the subtraction, leading to incorrect results. Always follow the order of operations: multiplication before addition or subtraction.
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