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

QUESTION POSTED AT 02/06/2020 - 01:30 AM

QUESTION POSTED AT 02/06/2020 - 01:30 AM

**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,

Here, consider

Substitute above, we get slope as,

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.**

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