There is no maximum but te minimum is 15.
It has an absolute minimum at the point (2,3). It has no maximum but the ends of the graph both approach infinity.
When the quadratic is written in the form: y = ax2 + bx + c then if a > 0 y has a minimum if a < 0 y has a maximum and if a = 0 y is not a quadratic but y = bx + c, and it is linear. The maximum or minimum is at x = -b/(2a)
The only variable on the right hand side is sin(x). The maximum value of sin(x) is 1. So, the max value of 3sin(x) is 3*1 = 3 and so, the max value of 3sin(x) + 2 is 3+2 = 5.
If y = 3sin(x)3, and x has no limit, then y has a range of -3 to 3.
There is no maximum but te minimum is 15.
It has an absolute minimum at the point (2,3). It has no maximum but the ends of the graph both approach infinity.
When the quadratic is written in the form: y = ax2 + bx + c then if a > 0 y has a minimum if a < 0 y has a maximum and if a = 0 y is not a quadratic but y = bx + c, and it is linear. The maximum or minimum is at x = -b/(2a)
1.What are the equations of the two lines that define the maximum and minimum values for the graphs of y = sin x and y = cos x ?(1 point)(1 pt) y = 1 and y = -1(0 pts) y = 0(0 pts) y = 2 and y = -2(0 pts) y = 1 and y = 01 /1 point
The answer will depend on the ranges for x and y. If the ranges are not restricted, then C can have any value.
The only variable on the right hand side is sin(x). The maximum value of sin(x) is 1. So, the max value of 3sin(x) is 3*1 = 3 and so, the max value of 3sin(x) + 2 is 3+2 = 5.
(x-2) is not a factor of the numerator and so y tends to minus infinity as x approaches 2 from below. As x approaches 2 from above, y tends to plus infinity. There are, therefore, no maximum or minimum values for y.
If y = 3sin(x)3, and x has no limit, then y has a range of -3 to 3.
First take the derivative: y' = 4x - 7 Now, solve for derivate equals zero: 4x - 7 = 0 4x = 7 x = 7/4 Locations where the derivative is zero may be a minimum, or a maximum, or neither (in this case it is indeed a minimum). Finally calculate the value of y for this particular value of x.
y = -9
A straight line has no turning points and so no local maxima or minima. The line has a maximum at + infinity and a minimum at - infinity if m > 0 and conversely if m < 0. When m = 0, the line is horizontal and so has no maximum or minimum. ([Alternatively, every point on the line is simultaneously a maximum and a minimum.]
Assuming the standard x and y axes, the range is the maximum value of y minus minimum value of y; and the domain is the maximum value of x minus minimum value of x.