MAT-1110 Midterm: MATH 1110 App State summer2012 Test1 answer key

• School: App State
• Department: Mathematics
• Course: MAT-1110
• Professor: All

Document Summary

Be sure to show your work: (14 points) domain, range, and vocabulary. (a) find the (natural) domain and range of the function f (x) = cos( x). Cosine"s domain is the whole real line, so we don"t need to worry about that part of the function. Now the square root function needs non-negative numbers as inputs if we are to real answers. Next, in a single period cosine outputs its entire range. So since [0, ) cycles through cosine"s period over and over again, the range of f (x) is the same as that of cosine. Answer: the domain of f (x) = cos( x) is [0, ) (non-negative real numbers) and its range is [ 1, 1]. (b) circle the correct descriptions of the following functions: h(x) = x2 + 3x4. Since h(x) is a linear combination of even powers of x, it is an even function.