Answer:
Step-by-step explanation:
A relation is a function if there are no shared x values. If you look at the y-axis where x = 0, you can see that there are 2 coordinates that share that x value:
(0, -1) and (0, 3). Because the x value in both those coordinates is the exact same number, this is NOT a function, merely a relation. ALL functions are relations, but not all relations are functions.
The domain asks for all the included x values. It goes from the lowest x value to the highest x value. Our lowest x value is -4 and the function stops at an x value of 4. So the domain is
D = {x | -4 ≤ x ≤ 4}
The range goes from the lowest y value to the highest y value. Our lowest y value is -2 and the highest y value is 4. So the range is
R = { y | -2 ≤ y ≤ 4}
That straight line that comes after the first x and y is the line that translates to "such that". In words, our domain reads "x such that x is greater than or equal to -4 and less than or equal to 4" and the range reads "y such that y is greater than or equal to -2 and less than or equal to 4".
The factor theorem states that if (x-a) is a factor of P(x) the P(a) = 0 so we can write, for this polynomial:
2^(4) - 3(2)^3 + A(2)^2 - 6(2) + 14 = 0
16 - 24 + 4A - 12 + 14 = 0
4A = -16+24 + 12 - 14 = 6
A = 6/4 = 1.5
Answer:
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10 is not a perfect square I believe
