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 exponential function f is defined by \( f\left(x\right)=c^x \), where c is a constant greater than 1. If f(8)=(49) • f(6), what is the value of c?
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指数式・指数方程与函数特征进阶
What is the y-intercept of the graph of \( y=6^x+12 \) in the xy-plane?
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指数式・指数方程与函数特征挑战
\( g\left(x\right)=\frac{1}{11}\left(6\left(2\right)^x+7\right) \)
The function g is defined by the given equation. For all values of x, the value of \( g(x) \) is greater than k, where k is a constant. What is the greatest possible value of k ?
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指数式・指数方程与函数特征挑战
Which expression represents the product of \( \left(x^{-9}y^6z^5\right) \) and\( \left(x^4z^5+y^8z^{-7}\right) \) ?
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指数式・指数方程与函数特征进阶
What is the y-intercept of the graph of \( y=10^x+22 \) in the xy-plane?
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指数式・指数方程与函数特征挑战
\( f\left(x\right)=4^{-5\left(x+1\right)} \)
Which of the following equivalent forms of the given function \( f \) displays, as the base or the coefficient, the y-coordinate of the y-intercept of the graph of \( y=f(x) \)in the xy-plane?
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指数式・指数方程与函数特征进阶
For the function \( f \), the table shows four values of x and their corresponding values of \( f(x) \).
Which of the following could describe this function?
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指数式・指数方程与函数特征挑战
Which expression is equivalent to \( x^6(x^3) \) ?
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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 \( y=6\left(1.85\right)^x \) 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基础
The function \( f \) is defined by \( f\left(x\right)=a\left(4\right)^x \), where a is a positive constant. In the xy-plane, the graph of \( y=f\left(x\right) \) passes through the point (0, 13). What is the value of \( f(0) \)?
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指数式・指数方程与函数特征进阶
\( y=9\left(\frac{a}{7}\right)^{x+c}-b \)
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 \( a>7 \) and \( b>c \)?
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指数式・指数方程与函数特征挑战
The function h is defined by \( h(x)=a^x+b \) , 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, 13). What is the value of ab?
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