Answer:Using the slope-intercept form, the y-intercept is 1
1) y-intercept => x = 0, => y = f(0) = 0 - 0 + 0 - 36 = -36
2) x-intercept => y = 0 => factor the function (start by dividing by x -2)
f(x) = (x-2)(x-3)(x-6) =0 => x =2, x = 3, x = 6 (these are the x-intercepts)
3) critical points:
between x = 2 and x = 3, there is a local maximum
between x =3 and x = 6 there is a local minimum
3) Shape.
The function comes growing from - infinity.
In the third quadrant the function is negative (it does not pass throuhg the second quadrant)
It enters to the fourth quadrant intercepting the y-axis at y = -36. It continues growing and intercepts the x-axis at x = 2.
It continues increasing until a maximum local positive value, starts to decrease, intercepts the x-axis at x = 3, continues decreasing, becomes negative, gets a local minimum in the fourth quadrant, starts to increase, intercepts the x-axis at x = 6, becomes positive, and continues growing.
Answer:
Options (a) and (c)
Step-by-step explanation:
There are so many inequalities graphed in the picture attached.
Common area (Triangle shown in the center) of the shaded regions will be the solution of the system of inequalities.
And points lying in this common region will be the solutions.
Points lying in this region are (0, -1) and (0, 0).
Therefore, Options (a) and (c) are the solutions.
Answer:
D.
Step-by-step explanation:
1) the domain is x∈[0;+∞);
2) the solution is:
3) finally, the solution with the domain is:
x∈[0;100].
Answer:
Step-by-step explanation:
