SOLUTION: 1.) f(x)= x2 - 1 f of X= x sqared minus one Graph each function.

Question 39478: 1.)
f(x)= x2 - 1
f of X= x sqared minus one
Graph each function.
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!

Should look like the parabola below:

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=4 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

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

RELATED QUESTIONS
The following graph describes function 1, and the equation below it describes function 2: (answered by Boreal)

Graph the function... (answered by josmiceli)

Graph function... (answered by Fombitz)

Write each function as a piecewise function. Then calculate f(−2), f(1), and f(5). (answered by josgarithmetic)

Sketch the graph of the function. f(x) = x2 + 2x − 2 (axis of symmetry = -1,... (answered by Theo)

Range of... (answered by Fombitz)

Drow the graph of the function f(x)=|x+1| (answered by ikleyn,solver91311)

use transformations of f(x)=1/x or f(x)= 1/x^2 to graph each rational function g(x)=... (answered by stanbon)

Graph the function f(x)=... (answered by tutorcecilia)