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:
13
Step-by-step explanation:
Set Susan's present age as x, her age from 3 years ago as x-3, and her age in three years as 2(x-3)
Since her age in seven years = 2 times as old as she way 3 years ago, set up the equation:
x+7 = 2(x-3)
x+7 = 2x-6
x = 13
Least common multiple question
Ronald: count by 6's
6, 12, 18, 24, 30, 36, 42, 48, 54 ....
Tim: count by 9's
9, 18, 27, 36, 45, 54,
every 18 days they do their laundry together
I dont see a question that i can anwser i need more information
Answer:
I believe the answer is y-axis
Step-by-step explanation: