Example: Fine the x- and y-intercepts of the equation y = 10x - 12 To find the x-intercept, substitute y = 0 then solve. 0 = 10x - 12 12 = 10x x = 12 / 10 = 6/5. (or 1.2) Therefore, the x-intercept is 6/5. Since this equation is in the form y = mx + b, and ...
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:f(x)=(x−2)2(x+1)(x+5). Step 1:Identify the x-intercept(s). ...
y = 2 – 4 + 1 y = -1 This makes the vertex (1, -1). 3. Determine the Axis of Symmetry The parabola's axis of symmetry (x = h) is a vertical line passing through the vertex, so as demonstrated above, this is x = 1. 4. Calculate the X-intercepts You can solve it us...
Thus, the full equation: y = 4x-17 Now that we know the equation of each line, we can determine where the lines intersect by setting the equations equal to each other. 2x-8 = 4x-17 9 = 2x x = 9/2. This is the x coordinate of the point of intersection. ...
This tutorial teaches you how to find a mathematical equation of a line given 2 points that exists on the line. The tutorial starts off with 2 points labeled (2,-4) and (3,6). The first step is to determine the slope of the line using the formula given in the tutorial in blue. ...
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In summary, if you are interested in the two-intercept form of a line, you can use the given intercepts to determine the slope, and then use the slope-intercept form. Sep 1, 2017 #1 mathdad 1,283 1 Find an equation of the line whose x-intercept is -6 and ...
The intercepts of a function are the values of x when f(x) = 0 and the value of f(x) when x = 0, corresponding to the coordinate values of x and y where the graph of the function crosses the x- and y-axes. Find the y-intercept of a rational function as y
Step 5:Determine the range by looking at the graph from bottom to top, writing any {eq}y {/eq}-values included in the graph in interval notation. Vocabulary for Finding the Intercepts, Asymptotes, Domain, and Range From the Graph of a Rational Function ...
Steps to graph a function When graphing functions, we take the following steps: Find the function’s domain and range and keep them in mind as you draw the curve. Find and plot the x-intercept(s) and y-intercept(s). Determine whether or not there are any holes. Find the asymptotes ve...