Relations & function pt 2
q.3
what is f(-6)?

Option C:

The value of f(–6) is 6.

Solution:

Let f(x) = y.

The value of y is depend on the value of x.

Here x is independent variable and y is the dependent variable.

To find the value of f(–6):

f(–6) means, we should find the value of our function when x equals –6.

In the given image, see the line on the graph.

The value of x is –6, it is on the left side of the graph.

The value of y corresponding to x = –6 is 6.

y = 6 when x = –6.

So, f(–6) is 6.

Hence the value of f(–6) is 6.

Option C is the correct answer.

45

step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.