Question

Write an equation of the line that passes through the points (3,6) and (4,10) using function notation.

A.) f(x) = 4x - 6

B.) f(x) = x + 4

C.) y = x + 4

D.) y = 4x - 6

Answer 1

Given:
(3,6) and (4,10)

a) f(x) = 4x - 6
f(3) = 4(3) - 6 f(4) = 4(4) - 6
f(3) = 12 - 6 f(4) = 16 - 6
f(3) = 6 f(4) = 10

b) f(x) = x + 4
f(3) = 3 + 4 f(4) = 4 + 4
f(3) = 7 f(4) = 8

c) y = x + 4
y = 3 + 4 y = 4 + 4
y = 7 y = 8

d) y = 4x - 6
y = 4(3) - 6 y = 4(4) - 6
y = 12 - 6 y = 16 - 6
y = 6 y = 10

Among the choices, choice A and D have the same value. However, the problem says functions notation. Choice A. is the function notation. A.) f(x) = 4x - 6