Functions and Relations MCQs with Answers

Past Paper MCQ

Let $f(x) = -3x^2 - 2x + 1$. Find $|f(1)|$.

• A.$4$
• B.$-4$
• C.$0$
• D.$6$

For any non-empty set $A$, a function $f: A \to A$ is called a function if $\text{domain} = \text{range}$.

• A.Injective
• B.Surjective
• C.Bijective
• D.Identity

If $f$ is a function from $A$ to $B$, then $f$ is an into function if _.

• A.Range $f = B$
• B.Range $f \neq B$
• C.Range $f \subseteq A$
• D.Domain $f = B$

Find the domain of the function $f(x) = \frac{6x}{3x - 2}$.

• A.$\mathbb{R} - \left\{\frac{2}{3}\right\}$
• B.$\mathbb{R} - \left\{-\frac{2}{3}\right\}$
• C.$\mathbb{R} - \{0\}$
• D.$\mathbb{R} - \left\{\frac{3}{2}\right\}$

If $r = -2$, then what is the value of the function $f(r) = r^3 - 4r + 8$?

• A.$-8$
• B.$0$
• C.$8$
• D.$16$

The domain of a sequence is a set of _ numbers.

• A.Real
• B.Whole
• C.Integer
• D.Natural

What is the domain of $f(x) = \frac{\sqrt{x - 1}}{x^2 - 2x}$?

• A.$(1, \infty)$
• B.$[1, 2) \cup (2, \infty)$
• C.$[1, \infty)$
• D.$(1, 2) \cup (2, \infty)$

What is the range of $f(x) = x$?

• A.The set of all real numbers
• B.The set of all positive real numbers
• C.The set of all integers
• D.The set $\{0\}$

The range of $x^2 + y^2 = 1$ is?

• A.$[-1, 1]$
• B.$[0, 1]$
• C.$(-1, 1)$
• D.$(-\infty, \infty)$

What is the domain of $\sin \theta$?

• A.Set of real numbers
• B.$[-1, 1]$
• C.$[0, \pi]$
• D.Set of integers