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the equation y = 2x - 1 represents a function. use the function rule to…

Question

the equation y = 2x - 1 represents a function. use the function rule to complete the table. input (x) output (y) -1 -3 0 1? 2?

Explanation:

Step1: Substitute \( x = 0 \) into \( y = 2x - 1 \)

\( y = 2(0) - 1 = 0 - 1 = -1 \)

Step2: Substitute \( x = 1 \) into \( y = 2x - 1 \)

\( y = 2(1) - 1 = 2 - 1 = 1 \)

Step3: Substitute \( x = 2 \) into \( y = 2x - 1 \)

\( y = 2(2) - 1 = 4 - 1 = 3 \)

Answer:

For \( x = 0 \), \( y = -1 \); for \( x = 1 \), \( y = 1 \); for \( x = 2 \), \( y = 3 \)

So the completed table (filling the blanks) is:

Input (\( x \))Output (\( y \))
0-1
11
23