Find the table of value for 3x2 - 5x − 7

Question

ScanSolve AI Tutor · Accepted Answer

To find the table of values for the expression $3x^2 - 5x - 7$ , we need to choose a range of $x$ values and calculate the corresponding $y$ values. Since no specific range is given, we will use integer values for $x$ from $-3$ to 3.

Define the function.
Let $y = 3x^2 - 5x - 7$ .
Calculate $y$ for each chosen $x$ value.
- For $x = -3$ :
$y = 3(-3)^2 - 5(-3) - 7 = 3(9) + 15 - 7 = 27 + 15 - 7 = 42 - 7 = 35$
- For $x = -2$ :
$y = 3(-2)^2 - 5(-2) - 7 = 3(4) + 10 - 7 = 12 + 10 - 7 = 22 - 7 = 15$
- For $x = -1$ :
$y = 3(-1)^2 - 5(-1) - 7 = 3(1) + 5 - 7 = 3 + 5 - 7 = 8 - 7 = 1$
- For $x = 0$ :
$y = 3(0)^2 - 5(0) - 7 = 0 - 0 - 7 = -7$
- For $x = 1$ :
$y = 3(1)^2 - 5(1) - 7 = 3(1) - 5 - 7 = 3 - 5 - 7 = -2 - 7 = -9$
- For $x = 2$ :
$y = 3(2)^2 - 5(2) - 7 = 3(4) - 10 - 7 = 12 - 10 - 7 = 2 - 7 = -5$
- For $x = 3$ :
$y = 3(3)^2 - 5(3) - 7 = 3(9) - 15 - 7 = 27 - 15 - 7 = 12 - 7 = 5$
Present the values in a table.
The table of values for $y = 3x^2 - 5x - 7$ for $x$ from $-3$ to 3 is:
$\boxed{ \begin{array}{|c|c|} \hline x & y = 3x^2 - 5x - 7 \\ \hline -3 & 35 \\ -2 & 15 \\ -1 & 1 \\ 0 & -7 \\ 1 & -9 \\ 2 & -5 \\ 3 & 5 \\ \hline \end{array} }$

Find the table of value for 3x2 - 5x - 7

Step-by-step solution

Define the function.

Calculate $y$ for each chosen $x$ value.

Present the values in a table.

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