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

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

anonymous · Answer

@phi

solomonzelman · Answer

$\large\color{black}{ \displaystyle \color{blue}{ f(x)=2x^2+1} }$
is that correct ?

phi · Answer

to answer I would first find the equation of the line for g(x)
you have two points (1,2) and (2,4)
you can find the slope and the y-intercept, and get the equation
can you do that ?