Question

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

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

Answer:

Option (D) is correct.

No, They will not intersect.

Step-by-step 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,

$m=\frac{y_2-y_1}{x_2-x_1}$

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

Substitute above, we get slope as,

$m=\frac{4-2}{2-1}=2$

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.