The answer will depend on the ranges for x and y. If the ranges are not restricted, then C can have any value.
1y
The question is not clear. A function is defined by an equation and that requires an equals sign. there is no equals sign in the question. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "divided by", "equals".
determine whether each relation is a function y equals -8
-1
A linear function. It is a horizontal line at -7.
There is no maximum but te minimum is 15.
+3 and -3
y = -9
It has an absolute minimum at the point (2,3). It has no maximum but the ends of the graph both approach infinity.
Since the range of the cosine function is (-1,1), the function y = cos(x) assumes a minimum value of -1 for y.
1y
No. 1a and 3d are linear, but 2bc is not. ■
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.]
The amplitude of a function is half the distance between the maximum and minimum values. This is the absolute value of the number in front of the trig function. for example, y=Asin(x) or y= Acos(x) the absolute value of A is the amplitude. Therefore, the amplitude of y=-2sinx is 2
At the maximum point of a function, the value of the second derivative is less than or equal to zero. Specifically, if the second derivative is negative, it indicates that the function is concave down at that point, confirming a local maximum. If the second derivative equals zero, further analysis is needed to determine the nature of the critical point, as it may be an inflection point or a higher-order maximum.
5 7
4