HSC Arts Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

For the curve y = `x^((1/3))` given in Figure 1.68, draw

y = `x^((1/3)) + 1`

For the curve y = `x^((1/3))` given in Figure 1.68, draw

y = `x^((1/3)) - 1`

For the curve y = `x^((1/3))` given in Figure 1.68, draw

y = `(x + 1)^((1/3))`

Graph the functions f(x) = x³ and g(x) = `root(3)(x)` on the same coordinate plane. Find f o g and graph it on the plane as well. Explain your results

Write the steps to obtain the graph of the function y = 3(x − 1)² + 5 from the graph y = x² 

From the curve y = sin x, graph the function.
y = sin(− x)

From the curve y = sin x, graph the function
y = − sin(−x)

From the curve y = sin x, graph the function
y = `sin(pi/2 + x)` which is cos x

From the curve y = sin x, graph the function
y = `sin (pi/2 - x)` which is also cos x (refer trigonometry)

From the curve y = x, draw y = − x

From the curve y = x, draw y = 2x

From the curve y = x, draw y = x + 1

From the curve y = x, draw y = `1/2 x +  1`

From the curve y = x, draw 2x + y + 3 = 0

From the curve y = |x|, draw y = |x − 1| + 1

From the curve y = |x|, draw y = |x + 1| − 1

From the curve y = |x|, draw y = |x + 2| − 3

From the curve y = sin x, draw y = sin |x| (Hint: sin(−x) = − sin x)

Find all values of x for which `(x^3(x - 1))/((x - 2)) > 0`

Find all values of x that satisfies the inequality `(2x - 3)/((x - 2)(x - 4)) < 0`