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Multiple Choice
Is the equation y=−2x+10 a function? If so, rewrite it in function notation and evaluate at f(3).
A
f(3)=4 , Is A Function
B
f(3)=3, Is A Function
C
f(3)=1, Is A Function
D
Is NOT A Function
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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.
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.
Step 3: Evaluate the function at x = 3. Substitute x = 3 into the function notation: f(3) = -2(3) + 10.
Step 4: Simplify the expression from Step 3. Calculate -2 times 3, then add 10 to find the value of f(3).
Step 5: Conclude that the equation is a function and provide the evaluated result of f(3) based on the simplification from Step 4.