If f(x) = x² - x + 1, then f (x + 1) is _______.

(a)

x²

(b)

x

(c)

1

(d)

x² + x + 1

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

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)

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

The range of f(x) = |x|, for all \(x\in R\), is ________.

(a)

(0, \(\infty \))

(b)

(0, \(\infty \))

(c)

(-\(\infty \), \(\infty \))

(d)

(1, \(\infty \))

If the function f(x) is continuous at x = a if \(\lim _{ x\rightarrow a }{ f\left( x \right) } \) is equal to ________.

(a)

f(-a)

(b)

f\((\frac{1}{a})\)

(c)

2f(a)

(d)

f(a)

Determine whether the following functions are odd or even?
f(x) = x² - |x|

If f(x) = 2^x, then show that f(x).f(y) = f(x + y)

Evaluate: \(\underset { x\rightarrow a }{ lim } \frac { { x }^{ \frac { 3 }{ 5 } }-{ a }^{ \frac { 3 }{ 5 } } }{ { x }^{ \frac { 1 }{ 5 } }-{ a }^{ \frac { 1 }{ 5 } } } \)

Differentiate sin² x with respect to x².

If \(\lim _{ x\leftarrow 2 }{ \frac { { x }^{ n }-2^{ n } }{ x-2 } =448 } \) ,then find the least positive integer n.

Draw the graph y = 9 - x²

Draw the graph of the following function \(f(x)=\frac { |x| }{ x } \)

Darw the graph of f(x) = log_ax; x > 0, a > 0 and \(a\ne 1\).