Therefore f(x) does not have an inverse. An inverted parabola gives you a this piecewise function that is a sideways parabola, and therefore fails the vertical line test and isn't a function. So the graph of f(x) is going to begin with a vertex at (0,-2) and open up, and the...
The resulting equation will be the inverse function. Can all functions have an inverse? No, not all functions have an inverse. For a function to have an inverse, it must pass the horizontal line test, meaning that every horizontal line intersects the graph of the function at most once. ...
Knowledge application- use your knowledge to answer questions about how to understand and graph inverse functions Additional Learning To learn more about how to understand and graph the inverse function, review the lesson on Understanding and Graphing the Inverse Function. This lesson covers the f...
From what I know about rational functions and vertical asymptotes (of which, this function has one), I know that the graph will go forever upward and forever downward, so the range is indeed everything other than y = 0. I'll use this to find the domain and range of my inverse. Here...
Step 1:To determine whether the given function has an inverse, we graph it, and perform the horizontal line test. We see that we cannot draw a horiztonal line anywhere on the graph, such that it would cross the graph more than once. Therefore, the function is one-to-one, and it has...
In order to graph a quadratic function, what we need to find are the vertex and the intercepts. On the other hand, we also need to find other points of the graphs.Answer and Explanation: We are given the function f(x)=−(x−3)2+1. We want to graph the given...
Answer to: Describe how the graph of each function is related to the graph of its parent function. 1. y=4^{x+1} 2. y=-3^{x}+2 3. y=2^{x-3}-4 By...
by rearrange the function into: and use to function "roots" to find the solution. Multiply by zeta^2, and collect terms. As long as zeta is not zero, that is not a problem. Your equation reduces to b*m2 + (a + b*m1)*zeta - z*zeta^2 + (a*m1 + b)*zeta^3 + (a*m2)...
I took a Matlab course over the summer, and now have to graph a problem in calculus. I am rusty on my commands, so I'm not sure which one to use. I am trying to make a 3-d plot of a function f(x,y)=-(x^2-1)^2-(x^2y-x-1)^2. Do I have to open a function, or...
In this article we will cover Construction of a Function Graph, Steps to graph a function, Steps to graph a function. Graphing functions is the process of drawing a curve that represents a function on a coordinate plane. If a function is represented by a