Functions and Relations MCQs with Answers

Let $p$: Islamabad is a capital of Pakistan. Let $q$: Lahore is a city of Pakistan. The conjunction $p \land q$ is:

• A.True
• B.False
• C.Neither True nor False
• D.Cannot be determined

The first-order derivative of the function $f(x) = (3x^5 + 6)^5$ with respect to $x$ is:

• A.$(3x^5 + 6)^4(75x^4)$
• B.$5(3x^5 + 6)^4(15x^4)$
• C.$(3x^5 + 6)^5(15x^4)$
• D.$5(3x^5 + 6)^4$

Evaluate: $\lim_{x \to a} (2x + 4) =$ ?

• A.$a + 4$
• B.$2a - 4$
• C.$4a + 2$
• D.$2a + 4$

If $(\mathbb{Z}, *)$ is a group with $a * b = a + b + 1$, where $a, b \in \mathbb{Z}$, then the inverse of $a$ is:

• A.$-a$
• B.$-a - 2$
• C.$-a + 2$
• D.$a + 2$

Past Paper MCQ

If $f(x) = x$, then $f(f(-1)) = ?$

• A.$1$
• B.$-1$
• C.$0$
• D.$f(-1)$

If $f(x) = x^3 - \frac{1}{x^3}$, then $f(x) + f\left(\frac{1}{x}\right)$ is equal to:

• A.$x^3 + \frac{1}{x^3}$
• B.$2x^3$
• C.$0$
• D.$2\left(x^3 - \frac{1}{x^3}\right)$

Past Paper MCQ

If $F(x) + F(-x) = 6$, then the function is:

• A.Odd function
• B.Even function
• C.Constant symmetric form
• D.Neither even nor odd

Past Paper MCQ

If $f(x) = -1$, what is $f(f(-1))$?

• A.$1$
• B.$0$
• C.$-1$
• D.Undefined

The range of the function $f(x) = 3x - 2$ is:

• A.$(-\infty, \infty)$
• B.$[-2, \infty)$
• C.$(-\infty, -2]$
• D.$[0, \infty)$

If $(x, 6) = (2, y - 6)$, then $x + y =$ _?

• A.$14$
• B.$10$
• C.$8$
• D.$12$