Question

The plot below represents the function f(2):

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

f(4) = 3

x = -1

Step-by-step explanation:

Line graphed shows a linear function.

Since this line passes through two points (4, 3) and (-1, 4)

Let the function is,

f(x) = mx + b

where 'm' = slope of the line

b = y-intercept of the line

Slope 'm' = $\frac{y_2-y_1}{x_2-x_1}$

               = $\frac{4-3}{-1-4}$

               = $-\frac{1}{5}$

f(x) = $-\frac{1}{5}x+b$

Since a point (4, 3) lies on the line,

f(4) = $-\frac{1}{5}(4)+b$

3 = $-\frac{4}{5}+b$

b = 3 + 0.8

b = 3.8

Therefore, f(x) = -0.2x + 3.8

For x = 4

f(4) = -0.2(4) + 3.8    

     = -0.8 + 3.8

     = 3.0

For f(x) = 4

4 = -0.2x + 3.8

0.2x = 3.8 - 4

x = $\frac{-0.2}{0.2}$

x = -1