Welcome to your Grade 11 Mathematics chapter 1
After carefully reading the following 30 questions, choose the correct answer.
1.
Which of the following is the definition of a relation R from a set A to a set B?
2.
What is the domain of a relation R?
3.
If R is a relation from A to B, what is the range of R?
4.
How is the inverse of a relation R, denoted by R−1, defined?
5.
What is the relationship between the domain of R and the range of R−1?
6.
A function f:A→B is said to be one-to-one (injective) if:
7.
A function f:A→B is called an onto (surjective) function if:
8.
Which test is used to determine if a graph represents a one-to-one function?
9.
A function f is a power function if it can be written in the form:
10.
For the power function f(x)=xn where n is a positive even integer, the graph is:
11.
If n is a positive odd integer, the power function f(x)=xn is:
12.
Which of the following defines a polynomial function P?
13.
The domain of any polynomial function is:
14.
What is the leading coefficient of the polynomial P(x)=anxn+an−1xn−1+⋯+a0?
15.
A polynomial function of degree 0 is called a:
16.
The graph of a polynomial function of degree n≥1 is:
17.
For a polynomial function f(x), if f(x)→∞ as x→∞ and f(x)→∞ as x→−∞, then:
18.
If the graph of y=f(x) is reflected across the line y=x, we obtain the graph of:
19.
The composition of functions f and g, denoted by (f∘g)(x), is defined as:
20.
For (f∘g)(x) to be defined, x must be in the domain of g and g(x) must be in:
21.
If f(x)=x+1 and g(x)=2x, what is (f∘g)(x)?
22.
A function f has an inverse f−1 if and only if f is:
23.
Which of the following is true for a function f and its inverse f−1?
25.
A signum function sgn(x) is defined as 1 if x>0, 0 if x=0, and:
26.
The greatest integer function f(x)=⌊x⌋ gives the:
27.
What is the value of ⌊−2.3⌋?
28.
If f(x)=x2 for x≥0, then f−1(x) is:
29.
A relation R is a function if:
30.
The range of the constant function f(x)=c is:
