College Algebra Midterm Review

Front

What is an odd function?

Back

A function f(x) is called an odd function if for every x in the domain, f(-x) = -f(x).

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

How do you find the quotient of two functions f(x) and g(x)?

Back

To find the quotient of two functions, you divide the output of f(x) by the output of g(x): \( \left(\frac{f}{g}\right)(x) = \frac{f(x)}{g(x)} \).

Front

What is the value of g(7) if g(x) = x - 7?

Back

g(7) = 7 - 7 = 0.

Front

What is the domain of the function f(x) = \frac{x}{x^2 - 4x - 12}?

Back

The domain is all real numbers except where the denominator is zero, which is (-∞,-2) u (-2,6) u (6,∞).

Front

What is an even function?

Back

A function f(x) is called an even function if for every x in the domain, f(-x) = f(x).

Front

What does it mean for a function to be neither even nor odd?

Back

A function is neither even nor odd if it does not satisfy the conditions for being even or odd.

Front

How do you determine the domain of a rational function?

Back

The domain of a rational function is all real numbers except where the denominator equals zero.

Front

What is the significance of the leading term in a polynomial function?

Back

The leading term determines the end behavior of the polynomial function as x approaches positive or negative infinity.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.