Is the equation $y=-2x+10$ a function? If so, rewrite it in function notation and evaluate at $f\left(3\right)$.

• A. $f\left(3\right)=4$ , Is A Function
• B. $f\left(3\right)=3$, Is A Function
• C. $f\left(3\right)=1$, Is A Function
• D. Is NOT A Function

Answer: (A)

Verified step by step guidance

1. Step 1: Determine if the equation y = -2x + 10 is a function. A relation is a function if each input (x-value) corresponds to exactly one output (y-value). In this equation, for every x-value, there is a unique y-value calculated by the expression -2x + 10, so it is a function.
2. Step 2: Rewrite the equation in function notation. Function notation replaces 'y' with 'f(x)', so the equation y = -2x + 10 becomes f(x) = -2x + 10.
3. Step 3: Evaluate the function at x = 3. Substitute 3 for x in the function notation: f(3) = -2(3) + 10.
4. Step 4: Simplify the expression from Step 3. Calculate -2 times 3, then add 10 to the result.
5. Step 5: Conclude the evaluation by stating the result of f(3) after performing the arithmetic operations from Step 4.