CPM Homework Help : INT3 Problem 6-10

Algebraically determine where the graphs of $f(x) = 2x^2 - 3x + 1$ and $g(x) = 4x - 2$ intersect.

Step 1:

Use the Equal Values Method since we want to determine where $f(x) = x(x)$ .

$2x^2 − 3x + 1 = 4x − 2$

Step 2:

Set the equation equal to $0$ .

$2x^2 − 7x + 3 = 0$

Step 3:

Factor the polynomial.

$(2x − 1)(x − 3) = 0$

Step 4:

Use the Zero Product Property to solve for $x$ .

$x=\frac{1}{2},3$

Step 5:

Substitute the $x$ -values back into one of the original functions to find their corresponding $y$ -values.