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, so it is a function.
2. Step 2: Rewrite the equation in function notation. The equation y = -2x + 10 can be written as f(x) = -2x + 10, where f(x) represents the function value at x.
3. Step 3: Evaluate the function at x = 3. Substitute x = 3 into 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 find the value of f(3).
5. Step 5: Conclude that the equation is a function and provide the evaluated result of f(3) based on the simplification from Step 4.