Sample QuestionsFunction questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Find the value of $a$, if $f(x)=2 x-3$ and $f=5$.
Answer: C.
View full solution →$f(x)=x(x-1)^{-1}, x \in Z-\{1\}$, what is the value of $f(-3)$ ?
- A
$-\frac{4}{3}$
- ✓
$\frac{3}{4}$
- C
$-\frac{3}{4}$
- D
$\frac{4}{3}$
Answer: B.
View full solution →If $f: A \rightarrow B , A =\{x \mid x$ is the number of days in the month of February of a leap year\}, $f(x)=x$ then find the range of the function.
- A
$\{28\}$
- B
$\{28,29\}$
- ✓
$\{29\}$
- D
$\{28,30\}$
Answer: C.
View full solution →Identify the type of a function $f: Z \rightarrow N \cup\{0\}$ and $f(x)=10^2$
- A
- ✓
- C
- D
$f(x)$ is not a function
Answer: B.
View full solution →How many main types of function are there ?
Answer: D.
View full solution →How many elements are there in the range of a constant function ?
State the type of function $p: R \rightarrow R , p(t)=2 t^2-t+1, t \in R$.
View full solution →Find $f(-1)$ if $f(x)=x^2-3 x+1$.
View full solution →If $f(x)=3 x-5, x \in N$ and $f(x)=16$, find the value of $x$.
View full solution →Identify the type of function, $h(x)=2, x \in N$.
View full solution →$f: A \rightarrow B , A =\{1,2,3\}, B =\{0,1,2,3,4,5,6,7\}$ and $f(x)=3 x-2$. Obtain the range of the function.
View full solution →If $f(x)=a+b x$ and $f(0)=5, f(3)=20$, obtain exact form of the function.
View full solution →The cost function of producing $x$ units is $C(x)=50+2 x+\sqrt{x}$, find the cost of producing 25 units.
View full solution →If a real function is $f(x)=x+\frac{2}{x+1}, x \in R -\{-1\}$, find the value of $f(1)-f(0)$.
View full solution →If a real function is $f(x)=\frac{x^3-27}{x^2+3 x+9}$, for which value of $x$ its image is zero ?
View full solution →If $f(x)=\frac{x^2-5 x+6}{x-2}, x \in Z-\{2\}$ and $g(x)=x-3, x \in Z-\{2\}$, verify whether the functions are equal..
View full solution →If $f(x)=3 x^2-4 x+36$, for which value of $x, f(3 x)=3 f(x)$ ?
View full solution →If $g(x)=\frac{x^2-9}{x-3}, x \in Z-\{3\}$, prove that $g(1)-g(0)+g(2)=6$.
View full solution →Find the value of $f(x+1)-f(x)$, if $f: N \rightarrow 7, f(x)=3 x-x^2, x \in N$.
View full solution →If $f: R \rightarrow R , f(x)=x^2+5 x-6$, State the type of the function $f$.
View full solution →