General Mathematics 1st Q

A ________ is a relation in which each element of the domain corresponds to exactly one element of the range.

• domain

• function

• range

• coordinate

The _______ of a relation is the set of first coordinates.

• function

• range

• domain

• coordinate

The _____ is the set of second coordinates.

• function

• domain

• range

• coordinates

The function f is an ________function if for all real numbers x,

f(x) = x, for x ≥ 0

–x, for x ≤ 0

• constant

• identity

• piece - wise

• absolute value

A function f is a ______ function if f(x) = mx + b, where m and b are real numbers, and m and f(x) are not both equal to zero.

• linear

• constant

• piece-wise

• absolute

A ________ function or a compound function is a function defined by multiple sub-functions, where each sub-function applies to a certain interval of the main function's domain.

• identity

• piecewise

• constant

• absolute

A _______ function is any equation of the form f(x) = ax2+ bx + c where a, b, and c are real numbers and a ≠ 0.

• identity

• absolute

• quadratic

• piece-wise

Tell whether the function described in each of the following is a linear function, a constant function, an identity function, an absolute value function, or a piecewise function.

f(x) = 3x − 7

• linear function

• constant function

• identity function

• absolute function

• piece-wise function

Tell whether the function described in each of the following is a linear function, a constant function, an identity function, an absolute value function, or a piecewise function.

f(x) = 3, if x > −5

-6, if x < −5

• constant function

• linear function

• identity function

• absolute value function

• piece-wise function

If f(x) = x + 8, evaluate each.

f(x + 3)

• x + 14
• x + 8
• x + 5
• x + 11