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.

{ 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 = 17

p(0) = 2(0)² - 2(0) + 5 = 0 + 0 + 5 = 5

p(1) = 2(1)² - 2(1) + 5 = 2 - 2 + 5 = 5

p(5) = 2(5)² - 2(5) + 5 = 2(25) - 10 + 5 = 50 - 10 + 5 = 45

Range is { 5, 17, 45 } ← note 5 is only entered once

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed