MCQ
Let $f(x) = \left\{ \begin{array}{l}\frac{1}{2},\;if\;0 \le x \le \frac{1}{2}\\\frac{1}{3},\;if\;\frac{1}{2} < x \le 1\end{array} \right.$, then $f$ is
- AA rational function
- BA trigonometric function
- ✓A step function
- DAn exponential function
✓
Answer
Correct option: C.
A step function
c
(c) Which is step function.
(c) Which is step function.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If $\frac{d y}{d x}+\frac{2^{x-y}\left(2^{y}-1\right)}{2^{x}-1}=0, x, y>0, y(1)=1$, then $y (2)$ is equal to
→he two curves $x^3 - 3xy^2 + 2 = 0$ and $3x^2y - y^3 - 2 = 0$ intersect at an angle of:
→Fifteen coupons are numbered $1$ to $15$. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is $9$ is:
→If the vectors $\vec{a}=\lambda \hat{i}+\mu \hat{j}+4 \hat{k}, \vec{b}=2 \hat{i}+4 \hat{j}-2 \hat{k}$ and $\vec{c}=2 \hat{i}+3 \hat{j}+\hat{k}$ are coplanar and the projection of $\vec{a}$ on the vector $\vec{b}$ is $\sqrt{54}$ units, then the sum of all possible values of $\lambda+\mu$ is equal to
→The ratio of the areas between the curves $\text{y}=\cos\text{x}$ and $\text{y}=\cos2\text{x}$ and $x-$ axis from $x = 0$ to $x = 0$ to $\text{x}=\frac{\pi}{3}$
→Let $R$ be a relation on the set $N$ be defined by $\{(x, y)| x, y \in N, 2x + y = 41\}$. Then $R$ is
→If $f\,\, \& \,\, g$ are differentiable functions such that $g' (a) = 2 \,\, \& \,\, g(a) = b$ and if $fog$ is an identity function then $f ' (b)$ has the value equal to :
→Number of points of discontinuity of the function $f\left( x \right) = \sin \left( {\left\{ {{2^x} + \left[ {{2^x}} \right] + \left[ {{3^{ - x}}} \right]} \right\}} \right)$ for $x \in \left[ {0,4} \right]$ is (where [.] and {.} denotes greatest integer and fractional part function respectively)
→If order of matrix $A$ is $2 \times 3$, of matrix $B$ is $3 \times 2$, and of matrix $C$ is $3 \times 3$, then which one of the following is not defined?
→If $\text{P(B)}=\frac{3}{5},\text{P}(\text{A}|\text{B})=\frac{1}{2}$ and $\text{P}(\text{A}\cup\text{B})=\frac{4}{5},$ then $\text{P}(\overline{\text{A}\cap\text{B}})+\text{P}(\overline{\text{A}}\cap\text{B})=$
→