Verify if the points A(1,4) and B(0,5) belong to the graph of f(x) = 5 - x

Expert Answers
hala718 eNotes educator| Certified Educator

f(x) = 5-x

We need to verify wether A and B belong to f(x)

In order for the point to be on the graph, then it must verify the equation>

for A(1,4)

f(1) = 4   ???

5-1 = 4

4= 4

It verifies the equation , then A belongs to f(x)

B (0,5)

f(0) = 5

5-0 = 5

5 = 5

It verifies the equation, then B belongs to f(x)

neela | Student

To verify whether A(1,4) and B(0,5) belongs to the graph f(x) = 5-x.

Solution:

Verification of the point A(1,4): Put x=1 and y = 4 in the equation y = 5-x.

LHS : y =5. RHS: 5-x =  5-1 = 4. So A is on the graph.

Verification of point B(0,5) . Put x =0 and y = 5 in the graph y = 5-x and see if if both sides you get same value.

LHS: y =5.

RHS : 5-x= 5-0.

Since values of both sudes are same we conclude B is on the graph.

LHS

giorgiana1976 | Student

To verify if a point belongs to a graph, we have to input it's coordinates in the expression of the function, to check if they are verifying it.

A(1,4) belongs to f, if and only if f(1) = 4

f(1) = 5-1

f(1) = 4, true, so, A (1,4) belongs to f's graph.

B(0,5) belongs to f, if and only if f(0) = 5

f(0) = 5-0

f(0) = 5 true, so , B(0,5) belongs to f's graph.