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
If 7x − 7x-1 = 2,058 , what is the value of \( \left(\frac{x}{2}\right)^3 \) ?
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指数式・指数方程与函数特征挑战
Which of the following is a graph of a decreasing exponential function?
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指数式・指数方程与函数特征挑战
The function g is defined by \( g\left(x\right)=10^{4x-2} \) . What is the value of x when g(x) is equal to 10,000?
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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
The function f is defined by f(x) = a(3.1x+3.1b), where a and b are integer constants and 0< a < b. The functions g and h are equivalent to function f, where k and m are constants. Which of the following equations displays the y-coordinate of the y-intercept of the graph of y = f(x) in the xy-plane as a constant or coefficient?
I. g(x)= a(3.1x+k)
II. h(x)= a(3.1)x + m
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指数式・指数方程与函数特征进阶

The table shows three values of x and their corresponding values of y for the equation \( y=7(2)^{x}+3. \)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进阶
The function f is defined by \( f\left(x\right)=4^{\frac{x}{6}}+12 \) . For what value of x is f (x) equal to 20?
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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. \(f(x)=17(1.26)^x+41\)
II. \(g(x)=6(0.78)^x\)
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指数式・指数方程与函数特征挑战
\( f\left(x\right)=336\left(2\right)^x \)
The function f is defined by the given equation. If \( g\left(x\right)=f\left(x-4\right) \) , 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进阶
\( f\left(x\right)=8\left(2\right)^{\frac{x}{4}} \)
Which table gives four values of x and their corresponding values of \( f\left(x\right) \) for the given exponential function?
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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 \( f\left(3\right)=6 \) and \( f\left(5\right)=150 \), what is the value of \( f\left(6\right) \) ?
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指数式・指数方程与函数特征进阶
\( f\left(x\right)=24\left(2\right)^{\frac{x}{6}} \)
Which table gives four values of x and their corresponding values of \( f\left(x\right) \)for the given exponential function?
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