The range of the function y = 3 sec x - 2 is what?
the range of y = sec (kx) is
y≥1 OR y≤-1, for all real values of y
yours is simply translated down 2 units, so your range is
y≥-1 or y≤-3
To determine the range of the function y = 3 sec x - 2, we first need to understand what the range represents in mathematics. The range of a function refers to the set of all possible values that the function can output. In simple terms, it represents the y-values that the function can take.
In this case, we have the function y = 3 sec x - 2. The function here involves the secant (sec) function, which is the reciprocal of the cosine (cos) function. The secant function takes an angle (x in this case) as input and returns the ratio of the hypotenuse to the adjacent side in a right triangle.
To find the range of this function, we need to consider the possible values for the secant function. The secant function can take any value between negative infinity and positive infinity, excluding certain points where it is undefined (such as where the cosine function equals zero).
Since the function in question is y = 3 sec x - 2, the range will be all values that can be obtained from the expression 3 sec x - 2 as x varies. Since sec x can be any value except zero, we can conclude that the range of the function y = 3 sec x - 2 is all real numbers except where 3 sec x - 2 equals zero.