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挑战
An acceptable noise criterion rating for the background noise in a laundry room is 50. For a noise criterion rating of 50, the equation y = 22(0.997)x-60 + 47 gives the estimated sound pressure level, y, in decibels, as a function of the octave band center frequency, x, in hertz, where x \( \ge \) 60 . Which of the following is the best interpretation of 47 in this context?
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指数式・指数方程与函数特征挑战
The function f is defined by f (x) = \( ab^{\frac{x}{n}} \) , where a, b, and n are constants, and b and n are integers. If f (2) = 6 and f (4) = 150, what is the value of f (5)?
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指数式・指数方程与函数特征挑战
Which expression is equivalent to \( \left(5x^6\right)\left(x^3\right) \) ?
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指数式・指数方程与函数特征挑战
A beaker containing a liquid is placed on a table. The function \( g\left(t\right)=295+\left(361-295\right)\left(2.72\right)^{-0.104t} \) gives the approximate temperature, in kelvins, of the liquid t minutes after the beaker was placed on the table. According to this function, what was the approximate temperature, in kelvins, of the liquid when the beaker was placed on the table?
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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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指数式・指数方程与函数特征挑战
\( y=9\left(\frac{a}{6}\right)^{x+c}-b \)
How many times does the graph of the given equation in the xy-plane cross the x-axis, where a, b, and c are positive constants such that \( a>6 \) and\( b>c \) ?
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指数式・指数方程与函数特征挑战
An exponential function f is defined by \( f\left(x\right)=c^x \), where c is a constant greater than 1. If \( f(6)=9·f(4) \), what is the value of c ?
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指数式・指数方程与函数特征挑战
The exponential function f is defined by\( f\left(x\right)=ab^x \), where a and b are positive constants. If \( f\left(n-1\right)=f\left(n\right)+\frac{89}{100}f\left(n-1\right) \), where n is a constant, what is the value of b?
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指数式・指数方程与函数特征挑战
Which expression is equivalent to \( \frac{6v^{10}}{24v^5} \) , where \( v>0 \) ?
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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. \(f(x)=19(1.27)^x+43\)
II. \(g(x)=8(0.77)^x\)
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指数式・指数方程与函数特征进阶
The y-intercept of the graph of \( y=81.65^x \) in the xy-plane is (0, y). 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 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. \(f(x)=16(1.24)^x+43\)
II. \(g(x)=8(0.72)^x\)
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