Once we have determined that a graph defines a function, we can use the horizontal line test to see if it’s a one-to-one function. Make horizontal lines across the graph. A horizontal line connects all points with the same y value. The input for that output y value is the x value...
Therefore, the graph has a horizontal asymptote that is equal to y = 0. Intercepts The x-intercept does not exist since the graph never crosses x-axis. The y-intercept is (0,a) since y = ab0 = a(1) = a. For example, if the exponential function is y = 3x, the y-intercept ...
compresses the parent function y=logb(x)y=logb(x) vertically by a factor of a if 0 < a < 1. has the vertical asymptote x = 0. has the x-intercept (1,0)(1,0). has domain (0,∞)(0,∞). has range (−∞,∞)(−∞,∞).How...
The graph of the function f(x) has a vertical asymptote at x = -5 and a horizontal asymptote at y = 0 as shown in the given figure. Determine whether the function is continuous over (-10, 6), if yes, why? Given h(x) = xe^x. S...
The vertical asymptote is x = 6. The horizontal asymptote is y = 0. 4. Find the domain and range of the function f in the following graph. Solution:In the above graph, we can observe that the horizontal extent of the graph is -3 to 1. Hence, the domain f is −3,1 ...
1.a) Write an equation of a rational function thathas a graph with all of the indicated properties.b) Graph the function as well.i) x – intercept at 5ii) y intercept atiii) vertical asymptote of x =iv) horizontal asymptote of y =c) How many different equationsare possible?Explain....
Vertical asymptotes at x=−2x=−2, and x=5x=5, Hole in graph at x=0x=0, Horizontal asymptote at y=3y=3 What has me stumped is what am I supposed to do with the numerator? All the previous question had an x-intercept. Here's what I have so far: xx⋅3(???)(x+2)(x...
f(a)=0 D. None of the above 相关知识点: 试题来源: 解析D If y=a is a horizontal asymptote of the function y=f(x), then EITHER limlimits _(x→ ∞ )f(x)=a OR limlimits _(x→ -∞ )f(x)=a. Because either of these is sufficient for a horizontal asymptote at y=a, (A)...
Learn how to find the x- and y-intercepts of a function. Discover where the intercepts are on a graph, and learn how to find the intercepts of an...
For plotting the graph we should join the coordinates created by the given function. Put the sequence number to the function and get the coordinates of the graph. Answer and Explanation:1 y=x3−9x2+15x+1 Equate the function to zero, ...