Determine the x and y intercepts of y = (x - 1)^2 - 2. X and Y-Intercepts {eq}X {/eq}-Intercept: when a line or the graph of any function crosses the standard {eq}x {/eq} axis, then this intersection is known as the {eq}x {/eq}-intercept. Due to the intercept on {eq...
Answer and Explanation:1 We will use the substitution method to solve the equation. Taking one of the equations: {eq}\begin{align*} x+2y &= 1\\ x &= 1-2y\\ x^2 &=...
First, we substitute {eq}f(x)=0... Learn more about this topic: Finding the X & Y Intercepts of a Function | Graph & Equation from Chapter 7/ Lesson 7 27K Learn how to find the x- and y-intercepts of a function. Discover where the intercepts are on a graph, and lea...
How to Determine End Behavior & Intercepts to Graph a Polynomial Function: Example 1 Graph the following function by determining the end behaviors and intercepts from the equation: {eq}f(x)=(x-2)^2(x+1)(x+5). {/eq} Step 1:Identify the x-intercept(s). ...
Exercise 4F Assignment 1 Find, in gradient-intercept for the equation of the line with gradient and y-intercept (0-2) with gradient and passing through 2 Determine the x- and y-intercepts of the following lines: by=-0.4x + 3 € 0 .2x +...
andcomeupwithanequationgiveapoint.Itisalsoimportanttobeabletodifferentiatebetweendependentandindependentvariables.Determinewhetheryvariesdirectlywithx.Ifso,findtheconstantofvariation.12.y=5x13.y=2x+214.2y= 7xInExercises15–16,yvariesdirectlywithx.15.Ify=15whenx=6,findxwheny=10.16.Ify=3whenx=2,findy...
Example 2 Which of the equations represents y as a function of x? b. This is not a function, since for every value of x there are two ( + ) values for y. Function Notation An equation is of the form. A function is of the form. This is called function notation. The input values...
Step 3: Find x-intercepts 1.If a root occurs an even number of times, the graph touches the x-axis there and turns around. 2.If a root occurs an odd number of times, the graph crosses the x-axis there. 3.If a root occurs more than once, the graph flattens out near that point...
True or False: The graph of a sine function has infinitely many x-intercepts. Determine whether the statement is true or false. Justify your answer. You can obtain the graph of y = \sec x on a calculator by graphing a translation of th...
The vertical line test is used to determine if a graph is a function by using a line that is parallel to the y-axis that intersects the graph. If the intersection of the vertical line and the graph is a single unique point all through out the graph, then it is a function. ...