Question

Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

Answer 1

D

Explanation:

Answer 2

Option (D) is correct.

No, They will not intersect.

Explanation:

Given Points for g(x), (1,2) , (2,4) and (3,6)

Since g is a linear function then it must be in form of g(x) = mx +c where, c is constant and m is slope.

We first calculate the slope using,

`m=(y_2-y_1)/(x_2-x_1)`

Here, consider
`x_1=1 , x_2=2 , y_1=2, y_2=4`

Substitute above, we get slope as,

`m=(4-2)/(2-1)=2`

Thus, equation becomes g(x) = 2x + c ...(1)

For c plug the values in (1),

(1,2) ⇒ 2= 2 + c ⇒ c = 0

Thus, Equation of G(x) is 2x.

When we plot it it do not intersect f(x).

Thus, Option (D) is correct.

No, They will not intersect.