We are given the general formula of the curve of y = ax2 + bx + c. The tangen line at the origin is y = 4x. This eliminates the second term in which the derivative should be reflected as a constant. Since when the derivative of the first term is 4x, then a should be 2. From the points, c should be equal to 24.
The range is the bounds on y. If 0<x<10, since this is a function that increases as x increases, the maximum y value will be by x=10 and the minimum will be by x=0.
Plugging these values of x into the function gives y=(10)^2-5=100-5=95 and y=0-5=-5
However, since x can't actually equal 0 and 10, y cannot be exactly equal to - 5 and 95. Therefore, the range is -5<y<95
You could not make a triangle with these measurements, because a triangle equals 180°, how ever if you add 45 + 90 + 10 you would get 145°. So you could not make a triangle with these measurements.
The x-intercept is the x-coordinate of a point where a graph intersects the x-axis and the y-intercept is the y-coordinate of a point where a graph intersects the y-axis. For example, (-4,0) -4 is the x-intercept and (0,6) 6 is the y-intercept
Hi! Did you mean to add a picture to your comment?