Question

Which ordered pair does NOT lie on the graph of h(x)=-2x + 7

A (-2, 3)
B.(-1, 9)
C (3, 1)
D (4, -1)

Answer 1

A

Explanation:

To determine if the ordered pairs lie on the graph, substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then it lies on the graph

A

x = - 2 : y = -2(- 2) + 7 = 4 + 7 = 11 ≠ 3 ← (-2,3) not on graph

B

x = - 1 : y = - 2(- 1) + 7 = 2 + 7 = 9 ← (- 1, 9) lies on graph

C

x = 3 : y = -2(3) + 7 = - 6 + 7 = 1 ← (3, 1) lies on graph

D

x = 4 : y = - 2(4) + 7 = - 8 + 7 = - 1 ← (4, - 1) lies on graph

Answer 2

Choice A is the answer.

Explanation:

We have given a function.

h(x) = -2x+7

We have to choose the ordered pair which doesn't lie on the graph of given function.

A. (-2,3)

Putting x = -2 in given function, we have

h(x) = -2(-2)+7

h(x) = 4+7

h(x) = 11 (not true)

B. (-1,9)

putting x = -1 in given function, we have

h(x) = -2(-1)+7

h(x) = 2+7 = 9 (true)

C. (3,1)

Putting x = 3 in given function, we have

h(x) = -2(3)+7

h(x) = -6+7

h(x) = 1 (true)

D. (4, -1)

Putting x = 4 in given function, we have

h(x) = -2(4)+7

h(x) = -8+7

h(x) = -1 (true)