SOLUTION: question is: f(x)=2x^2-x-1 List the y-intercept, if there is one, of the graph of f(x).

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Question 40249This question is from textbook College Algebra
: question is: f(x)=2x^2-x-1
List the y-intercept, if there is one, of the graph of f(x).
This question is from textbook College Algebra

Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
f(x)=2x^2-x-1
The y-intercept is at because when you fill in zero for the , you get zero.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=9 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1, -0.5. Here's your graph:

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