Question 223443: I'm trying to help my son with his homework and im failing! I use to know how to do this, we have a graphing calculator bu and but i can't remember how to use it. The problem is  and we have to graph it and find the domain, range, increasing, decreasing, maximum. minimum, x-intercept, y intercept, vertex, zeros, transformations, end behavior. Ther is also a chart given the value of x to be -2, -1,0, 1,2
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! can't help with the calculator, but ...
this is a parabola that opens upward
because there is no 1st order x-term, the graph is centered on the y-axis
the domain (possible x-values) is all real numbers
the range (possible y-values) is all real numbers >= -4
this is because the 5x^2 term is always >= 0
the function is decreasing from -∞ > x > 0, and increasing from 0 > x > ∞
the maximum is f(x) = ∞ and the minimum is f(x) = -4 (the min is also the y-intercept; and the vertex (0,-4))
the x-intercepts (or zeros or roots) are ±2√5 / 5
not sure about "transformations" and "end behavior"
just plug the x-values into the equation to get the y-values for the chart
|
|
|
