1st Sem Midterm Exam Gen. Math 11

It is an equation in two variables x and y, where the variable y may be expressed as f(x) if every value of x corresponds to a single value of y.

• function

• equation

• variable

• notation

In this type of relation, some values of x are associated with more than one value of y.

• one – to – many correspondence

• one – to – one correspondence

• many – to – many correspondence

• many – to – one correspondence

It is a function defined in the form of an equation whose degree is greater than 2.

• linear function

• polynomial function

• rational function

• radical function

What is (f − g) (x) if f(x) = 5x − 3 and

g(x) = 15x + 6?

• 10x + 9

• -10x – 9

• 10x – 9

• -10x + 9

Given the functions f(x) = x² + 1 and

g(x) =3x − 2, find (f ⋅ g) (x).

• 3x³ + x ² + 3x – 2

• 3x³ - 2x² - 2x – 2

• 3x³ + 5x² - 4x – 2

• 3x³ - 2x² + 3x – 2

Determine the validity of the following equation:

f(x) ⋅ g(x) = g(x) ⋅ f(x)

• never true

• always true

• not enough information given

• sometimes true

If xⁿ is a term of a polynomial, what type of number is n?

• whole number

• fraction

• negative number

• decimal

What is the range of

 $y=\frac{2x+5}{2x-3}$  ?

• set of all real numbers except 1

• set of all real numbers except 0

• set of all real numbers except -1

• set of all real numbers except 2

Any number raised to zero is equal to what number?

• 1

• 0

• the reciprocal of a number

• the number itself

In this type of relation, some values of x are associated with more than one value of y.

• one – to – many correspondence

• one – to – one correspondence

• many – to – many correspondence

• many – to – one correspondence