Question

The plot below represents the function f(2):

4
3
2
1
5 4 3 2 1
Evaluate f (4):
f14)
41
X
Solve f(x) = 4:
ONE
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Stanit Question

Answer 1

Explanation:

Answer 2

f(4) = 3

x = -1

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' =
`(y_2-y_1)/(x_2-x_1)`

=
`(4-3)/(-1-4)`

=
`-(1)/(5)`

f(x) =
`-(1)/(5)x+b`

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

f(4) =
`-(1)/(5)(4)+b`

3 =
`-(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 =
`(-0.2)/(0.2)`

x = -1