Question

Use function notation to write the equation of the line.

Answer 1

$\Large\underline{\rm Solution :- }$

Tip : The Equation of the line can be found using the Slope Intercept Form when we have y intercept and slope of the line , which is $y = mx + c$

From the graph we can see that it cuts y axis at (0,1) . And x axis at (0.3,0) . ( approximately) . Hence the slope ,

• $y - intercept = 1$

$\implies m = \dfrac{1}{0.33} \approx\boxed{ 3}$

On using Slope Intercept Form :-

$\implies y = mx + c \\\\\implies y = 3x + 1\\\\\implies \underline{\boxed{ f(x) = 3x + 1 }}$

Option b is correct .