Question

How does the value of "f(x)" changes in the interval x = 0.5 to x = 1.5 in the given graph?

• A. $\text{f(x) is increased by150\%}$
• B. $\text{f(x) is increased by 100\%}$
• C. $\text{f(x) is decreased by100\%}$
• D. $\text{f(x) is decreased by150\%}$

Answer 1

The correct option is A $\text{f(x) is increased by150\%}$

In a function, for an input value “x”, the output value will be f(x) or y.


From the graph, we observe:

When x = 0.5, y = 12

When x = 1.5, y = 30

$\text{\% increase in f(x)}=\frac{\text{Change in y}}{\text{Initial value of f(x)}}\times 100$

$=\frac{30-12}{12}\times 100$

$=\frac{18}{12}\times 100=150\%$

So, f(x) is increased by 150%.