Nellie 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 one half times x squared, plus 2 x g(x) 1 5 2 10 3 15

Yes, the functions intersects at the points (0,2) and (9.583,47.913).

Step-by-step explanation:

We have the functions,

f of x equals one half times x squared, plus 2 i.e. and g(x) given by the table.

The general form of a linear function is y=mx+b, where m is the slope and b is the y-intercept.

We will find the slope of the function g(x),

Using , we get,

i.e.

i.e.

i.e. m= 5.

So, substituting (1,5) in y=5x+b ⇒ 5 = 5×1+b ⇒ b= 0.

Thus, the equation of g(x) is y= 5x.

After plotting the function f(x) and g(x), we get the following graph.

From the graph, we see that, the functions intersects at the points (0,2) and (9.583,47.913).

4x and 6y

im not sure though

45

step-by-step explanation: