百度试题 结果1 题目Write an exponential function y=ab^x whose graph passes through (2,18) and (3,54).y = ___ 相关知识点: 试题来源: 解析 2.3^x反馈 收藏
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 is (0,1). If y = abx, a > 0 0 < b < 1, the exponential graph has the fol...
Exponential growth can be modeled with the functiony = abx for a > 0 and b >1 y = abx x is the exponenta is the starting amount when x = 0b is the base, rate, or growth factor and it is a constant and it is greater than 1....
How do you graph an exponential function? To graph y = ab^x or y = ab^x + c, first plot (0, a) if there is no c term, or plot (0, a + c) if there is acterm. Then, draw a dotted line at y = 0 for the asymptote if there is no c term, or draw a dotted line at...
The exponential function is the same as raising e (the base of natural logarithms) to a given power. It is denoted either by the usual notation for a power, or by the notation exp(⋯). If b is a constant and y is the exponential of bx, then (2.13)y=ebx=exp(bx) Fig....
An exponential function has the following characteristics:The graph has a y-intercept. The graph has a horizontal asymptote on the portion of the graph where the power is negative. The domain is all real numbers; there is no limitation on the value of x. The function has a constant growth...
3√(x). For example, the cube root of -1 is -1: 3√(-1) = -1. Formal Definition of an nth Root Function The formal definition is: n√· : [0, ∞] ℝ, given by n√ (x) = the unique real number y ≥ 0 with yn = x. The nth root function, n√(x) is defined for...
7.1 –Exponential Functions An exponential function has the form y = abx where a does not equal zero and the base b is a positive number other th..
The horizontal asymptote of an exponential function f(x) = abx+ c is y = c. Domain and Range of Exponential Function We know that thedomain of a functiony = f(x) is the set of all x-values (inputs) where it can be computed and the range is the set of all y-values (outputs)...
table. Before we start, we shouldcheck to see if the table CAN BE represented by an exponential function. Remember that exponential functionsgrow by common factors over equal intervals. Are thex-values changing by the same increment, and do successivey-values have the same ratio or common ...