Question

Select all of the following points that lie on the graph of f(x) = 7 - 3x.

Answer 1

Answer:  The correct options are

(B) (-1, 10)

(C) (0, 7)

(E) (2, 1).

Step-by-step explanation:  We are given to select all the points that lie on the graph of the following function :

$f(x)=7-3x~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Option (A) :  (x, f(x)) = (-2, 1).

We have

$f(-2)=7-3\times(-2)=7+6=13\neq 1.$

So, the point (-2, 1) does not lie on the graph of equation (i).

Option (A) is incorrect.

Option (B) :  (x, f(x)) = (-1, 10).

We have

$f(-1)=7-3\times(-1)=7+3=10.$

So, the point (-2, 1) lie on the graph of equation (i).

Option (B) is correct.

Option (C) :  (x, f(x)) = (0, 7).

We have

$f(0)=7-3\times0=7-0=7.$

So, the point (0, 7) lie on the graph of equation (i).

Option (C) is correct.

Option (D) :  (x, f(x)) = (1, 5).

We have

$f(1)=7-3\times1=7-3=4\neq 5.$

So, the point (1, 5) does not lie on the graph of equation (i).

Option (D) is incorrect.

Option (E) :  (x, f(x)) = (2, 1).

We have

$f(2)=7-3\times(2)=7-6=1.$

So, the point (2, 1) lie on the graph of equation (i).

Option (E) is correct.

Thus, options (B), (C) and (E) are correct.

Answer 2

Answer:

All of the points lie on the graph except for the coordinates (-2,1) and (1,5)

Step-by-step explanation: