Question

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

A. (-2, 1)
B. (-1, 10)
C. (0, 7)
D. (1, 5)
E. (2, 1)

Answer 1

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

Explanation:

Answer 2

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*(-2)=7+6=13\\eq 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*(-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*0=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*1=7-3=4\\eq 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*(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.