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MATH SOLVE
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2. Given the quadratic function p(x) = 2x2 - 2x + 5 , find the range values when the domain is{-2,0,...
4 months ago
Q:
2. Given the quadratic function p(x) = 2x2 - 2x + 5 , find the range values when the domain is{-2,0,1,5} Write your answer in set notation.
Accepted Solution
A:
Answer:{ 5, 17, 45 }Step-by-step explanation:To find the range substitute the values from the domain into p(x)p(- 2) = 2(- 2)² - 2(- 2) + 5 = 2(4) + 4 + 5 = 8 + 4 + 5 = 17p(0) = 2(0)² - 2(0) + 5 = 0 + 0 + 5 = 5p(1) = 2(1)² - 2(1) + 5 = 2 - 2 + 5 = 5p(5) = 2(5)² - 2(5) + 5 = 2(25) - 10 + 5 = 50 - 10 + 5 = 45Range is { 5, 17, 45 } ← note 5 is only entered once