MTS 102 Pre-Exam

Which of the following best describes a function of a real variable?

• A relation between numbers and letters

• A mapping from one real number to exactly one real number

• A mapping from one set to many sets

• A relation between variables with no restriction

If f(x) = 2x + 3, find f(4).

• 11

• 8

• 7

• 10

The domain of the function f(x) = √(x - 2) is:

• All real numbers

• x > 2

• x ≥ 2

• x < 2

If f(x) = x^2 − 1, then the range is:

• (−∞,∞)

• [−1,∞)

• (−∞,−1]

• [0,∞)

A function that satisfies f(−x) = f(x) for all x in its domain is called:

• Odd function

• Even function

• Constant function

• Linear function

If f(x) = x/1, the function is undefined at:

• x = 0

• x = 1

• x = 2

• x = −1

The function f(x) = |x| is:

• Differentiable at all points

• Not continuous at x = 0

• Continuous everywhere

• Odd

The composite function (f o g)(x) is defined as:

• f(x)g(x)

• f(g(x))

• g(f(x))

• f(x) + g(x)

Which of the following is a one-to-one function?

• f(x) = x^2

• f(x) = |x|

• f(x) = x^3

• f(x) = cos x

The inverse of the function f(x) = 2x + 1 is:

• f−1(x) = (x - 1)/2

• f−1(x) = 2x − 1

• f−1(x) = (x + 1)/2

• f−1(x) = 1/(2x + 1)