Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which t
1 answer:
Answer:
a. Maximum= 27, minimum= -5
b. Maximum= 19, minimum=-37
Step-by-step explanation:
We have the function . Since the function correspond to a line, then the maximum and minimum values of the function over an interval are in the endpoints of the interval.
Observe that if the line has negative slope then the minimum value is in the right endpoint. If the line has positive slope the minimum value is in the left endpoint of the interval.
The function f(x) has slope m=8. Then
a. the minimum value of f(x) in the interval [0,4] is reach when x=0, and the minimum is and the maximum is
b. the minimum value of f(x) in the interval [-4,,3] is reach when x=-4, and the minimum is and the maximum is
You might be interested in
Answer:
a. The slope of a line parallel to the given line is 1
b. A point on the line parallel to the given line, passing through (−4, 2), is (1,7)
c. The slope of the line perpendicular to the given line is -1
d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)
Step-by-step explanation:
The equation of the line in Slope-intercept form is:
Where m is the slope and b is the y-intercept.
a. For the line
You can identify that:
By definition, two lines are parallel if they have the same slope. Then, the slope of a line parallel to the given line is:
b. The equation of the line in Point-slope form is:
Where m is the slope and () is a point of the line.
Given the point (-4,2), substitute this point and the slope of the line into the equation:
Give a value to "x", substitute it into this equation and solve for "y":
For :
Then, you get the point (1,7)
c. The slopes of perpendicular lines are negative reciprocals, then the slope of a line perpendicular to the given line is:
d. Given the point (-4,2), substitute this point and the slope of the line into the equation:
Give a value to "x", substitute it into this equation and solve for "y":
For :
Then, you get the point (3,-5)