Answer:
Explanation:
To find the x-intercepts of a function, we set y = 0 and solve for x.
For the function 2x² - 3x + 1:
2x² - 3x + 1 = 0
We can use the quadratic formula to solve for x:
x = [ -(-3) ± sqrt( (-3)² - 4(2)(1) ) ] / (2*2)
x = [ 3 ± sqrt(1) ] / 4
x = 1/2 or x = 1
Therefore, the x-intercepts are (1/2, 0) and (1, 0).
For the function y = 2x² + 8x + 6:
2x² + 8x + 6 = 0
We can simplify this equation by dividing both sides by 2:
x² + 4x + 3 = 0
This equation factors as:
(x + 3)(x + 1) = 0
So the solutions are x = -3 and x = -1.
Therefore, the x-intercepts are (-3, 0) and (-1, 0).
For the coordinates (0.5, [?]).
To find the y-coordinate of the point (0.5, [?]), we can substitute x = 0.5 into the equation for the function:
y = 2(0.5)² + 8(0.5) + 6
y = 2(0.25) + 4 + 6
y = 5.5
Therefore, the coordinates are (0.5, 5.5).
For the coordinates ([ ], [ ]).
Without knowing the specific function, we cannot determine the x-intercepts or any other information about the graph. We would need to know the equation of the function or have additional information about the graph.