SOLUTION: Find the x- and y-intercepts. If no x-intercepts exist, state so. {{{f(x) = 2x2 - 2x

SOLUTION: Find the x- and y-intercepts. If no x-intercepts exist, state so. {{{f(x) = 2x2 - 2x - 24}}}

Question 248955: Find the x- and y-intercepts. If no x-intercepts exist, state so.

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!

.
y-intercept is defined by f(0).
It is where the line crosses the y-axis.

.
x-intercept is defined by f(x) = 0.
It is where the line crosses the x-axis.
Recall

If x=4, then the entire right-hand side = 0, so that is an x-intercept.
If x=-3, then the entire right-hand side = 0, so that is another x-intercept.
.
The graph is useful to review. It is a parabola.

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=196 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4, -3. Here's your graph:

RELATED QUESTIONS
Find the x- and y-intercepts. If no x-intercepts exist, state so. f(x) = 2x2 - 2x -... (answered by checkley77)

Find the x- and y-intercepts. If no x-intercepts exist, state so. f(x) = x2 + 16x +... (answered by josmiceli)

Find the x-and y-intercepts. If no x-intercepts exist, state so.... (answered by lynnlo)

Find the x- and y-intercepts. If no x-intercepts exist, state so. f(x) = 3x2 + 6x + 1 (answered by mananth)

Find the x- and y-intercepts. If no x-intercepts exist, state so. f(x) = x^2 - 5x - 24 (answered by checkley77)

f(x)= 2x^2+4x-70 Find the x and y intercepts. If no x-intercept exists, state so. (answered by JBarnum)

Find any x-intercepts and the y-intercepts. If no x-intercepts exist, state this.... (answered by persian52)

Find the x- and y-intercepts. If no x-intercepts exist, state so. f(x) = -x^2 + 7x -... (answered by jsmallt9)

Find the x- and y-intercepts. If no x-intercepts exist, state so. f(x) = 15x^2 - 20x - (answered by Alan3354)