5272道题目5525 条题源记录 · 相同内容已合并
指数式・指数方程与函数特征进阶
\( f\left(t\right)=8,000\left(0.65\right)^t \)
The given function \( f \) models the number of coupons a company sent to their customers at the end of each year, where t represents the number of years since the end of 1998, and \( 0\le t\le5 \). If \( y=f\left(t\right) \) is graphed in the ty-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?
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指数式・指数方程与函数特征进阶
\( f\left(x\right)=9\left(4\right)^x \)
The function \( f \) is defined by the given equation. If \( g\left(x\right)=f\left(x+2\right) \), which of the following equations defines the function g?
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指数式・指数方程与函数特征基础
The graph of the exponential function \( f \) is shown, where \( y=f\left(x\right) \). The y-intercept of the graph is \( \left(0,\ y\right) \). What is the value of y?
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指数式・指数方程与函数特征挑战
The table shows three values of x and their corresponding values of y for the equation \( y=4\left(2\right)^x+3 \) . In the table, a is a constant. What is the value of a?
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指数式・指数方程与函数特征挑战
Function f is defined by f(x) =-ax + b , where a and b are constants. In the xy-plane, the graph of y = f(x) -15 has a y-intercept at \( \left(0\ ,\ -\frac{99}{7}\right) \) . The product of a and b is \( \frac{65}{7} \). What is the value of a ?
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指数式・指数方程与函数特征挑战
f(t) =8,000(0.65)t
The given function f models the number of coupons a company sent to their customers at the end of each year, where t represents the number of years since the end of 1998, and \( 0\le t\le5 \). If y = f(t) is graphed in the ty-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?
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指数式・指数方程与函数特征挑战
M = 1,800(1.02)t
The equation above models the number of members, M, of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?
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指数式・指数方程与函数特征挑战
The functions \(f\) and \(g\) are defined by the given equations, where \(x\ge0\). Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where \(x\ge0\)?
I. \(f(x)=33(0.4)^x+3\)
II. \(g(x)=33(0.16)(0.4)^x-2\)
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指数式・指数方程与函数特征挑战
The function h is defined by h(x) = ax + b , where a and b are positive constants. The graph of y = h(x) in the xy- plane passes through the points (0 ,10 ) and (-2 ,\( \frac{325}{36} \) ). What is the value of ab ?
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指数式・指数方程与函数特征挑战
f(x) =9,000(0.66)x
The given function f models the number of advertisements a company sent to its clients each year, where x represents the number of years since 1997, and 0\( \le \) x\( ≤ 5 \). If y = f(x) is graphed in the xy-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?
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指数式・指数方程与函数特征挑战
f(x) = 9(4)x
The function f is defined by the given equation. If g(x) = f (x +2) , which of the following equations defines the
function g ?
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指数式・指数方程与函数特征挑战
For the exponential function f , the value of f (1) is k , where k is a constant. Which of the following equivalent forms of the function f shows the value of k as the coefficient or the base?
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