#### Differential Calculus One Mark Question

11th Standard

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Time : 00:30:00 Hrs
Total Marks : 10
10 x 1 = 10
1. If f(x) = x2 - x + 1, then f (x + 1) is _______.

(a)

x2

(b)

x

(c)

1

(d)

x2 + x + 1

2. If $f\left( x \right) =\begin{cases} { x }^{ 2 }-4x\quad ifx\ge 2 \\ x+2\quad ifx<2 \end{cases}$, then f(5) is _______.

(a)

-1

(b)

2

(c)

5

(d)

7

3. If $f\left( x \right) =\begin{cases} { x }^{ 2 }-4x\quad ifx\ge 2 \\ x+2\quad ifx<2 \end{cases}$ then f(0) is _______.

(a)

2

(b)

5

(c)

-1

(d)

0

4. If f(x) = $\frac{1-x}{1+x}$ then f(-x) is equal to _______.

(a)

-f(x)

(b)

$\frac{1}{f(x)}$

(c)

$\frac{-1}{f(x)}$

(d)

f(x)

5. The graph of the line y = 3 is _______.

(a)

Parallel to x-axis

(b)

Parallel to y-axis

(c)

Passing through the origin

(d)

Perpendicular to x-axis

6. The graph of y = 2x2 is passing through _______.

(a)

(0,0)

(b)

(2,1)

(c)

(2,0)

(d)

(0,2)

7. The graph of y = ex intersect the y-axis at _______.

(a)

(0,0)

(b)

(1,0)

(c)

(0,1)

(d)

(1,1)

8. The minimum value of the function f(x)= |x| is _______.

(a)

0

(b)

-1

(c)

+1

(d)

$-\infty$

9. Which one of the following functions has the property f (x) = $f\left( \frac { 1 }{ x } \right)$, provided $x \neq 0$

(a)

$f\left( x \right) =\frac { { x }^{ 2 }-1 }{ x }$

(b)

$f\left( x \right) =\frac { 1-{ x }^{ 2 } }{ x }$

(c)

f(x) = x

(d)

$f\left( x \right) =\frac { { x }^{ 2 }+1 }{ x }$

10. If f(x) = 2x and get g(x) = $\frac{1}{2^x}$ then (fg)(x) is ________.

(a)

1

(b)

0

(c)

4x

(d)

$\frac{1}{4^x}$