Question

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




f(x)

g(x)

graph of the function f of x equals two times x squared, plus 1

x

g(x)

1 2
2 4
3 6

Answer 1

do you think f(x)= 2x^2 +1 ?
and this you need graphing it ?

Answer 2

yes

Answer 3

You'll need to determine the function g(x) from the given table:

g(x)

1 2
2 4
3 6

Choose any two points; find the slope of the line, and then find the y-intercept of the line. Write your final result in the form y=mx+b.

You can now substitute (mx+b) for y in the first equation. Does the resulting equation have one or more solutions?

Answer 4

<< will they intersect ? >> yes than they have common roots

so there are given for g(x) roots are

g(x)

1 2
2 4
3 6

so with knowladge just you need to prove that these given roots of g(x) are roots of f(x) or one from these is root for f(x) too

do you can prooving this ?

Answer 5

yes at positive x coordinates

Answer 6

It's your job to determine the coordinates of the point or points of intersection. What are they? Does the linear function intersect the quadratic function? If so, in how many places? If so, what are the coordinates of the pts. of intersection?

Answer 7

HI!!

Answer 8

you got this?