Answer:
y = {11, 3, -5, -13}
Explanation:
You want the value of y for various values of x, given that y = -4x +3.
Function evaluation
Put the value of x where x is in the function rule and do the arithmetic.
y = -4x +3
y = (-4)(-2) +3 = 8 +3 = 11 . . . . for x = -2
y = (-4)(0) +3 = 0 +3 = 3 . . . . for x = 0
y = (-4)(2) +3 = -8 +3 = -5 . . . . for x = 2
y = (-4)(4) +3 = -16 +3 = -13 . . . . for x = 4
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Additional comment
You will notice that the change in y is -4 times the change in x. This means each increase of 2 in the value of x will result in a decrease of 8 in the value of y. Realizing this, you only need to subtract 8 from the previous y-value to get the next one.