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
The function \( f \) is defined by \( f\left(x\right)=ab^{\frac{x}{n}} \) , where a, b, and n are constants, and b and n are integers. If \( f\left(2\right)=6 \) and \( f\left(5\right)=162 \), what is the value of \( f\left(7\right) \) ?
原库参考解析
指数式・指数方程与函数特征进阶
\( f\left(x\right)=-26\left(2\right)^{\frac{x}{6}} \)
Which table gives four values of x and their corresponding values of \( f\left(x\right) \) for the given exponential function?
原库参考解析
指数式・指数方程与函数特征进阶
The graph of \( y=f\left(x\right) \) is shown, where \( f\left(x\right)=ab^x+c \) , and a, b, and c are constants. For how many values of x does \( f\left(x\right)=0 \) ?
原库参考解析
指数式・指数方程与函数特征挑战
The function \( f \) is defined by \( f\left(x\right)=-10\left(3\right)^x+\frac{1}{k} \) , where k is a constant. If \( y=f\left(x\right) \) is graphed in the xy-plane, what is the y-coordinate of the y-intercept of the graph?
原库参考解析
指数式・指数方程与函数特征挑战
The function \( f \) is defined by \( f\left(x\right)=ab^{\frac{x}{n}} \) , where a, b and n are constants, and b and n are integers. If \( f\left(4\right)=5 \) and \( f\left(7\right)=135 \) . What is the value of \( f\left(9\right) \) ?
原库参考解析
指数式・指数方程与函数特征挑战
The graph of \( y=f\left(x\right) \) is shown, where \( f\left(x\right)=ab^x+c \) and a, b and c are constants. For how many values of x does \( f\left(x\right)=0 \) ?
原库参考解析
指数式・指数方程与函数特征进阶
The equation of the graph shown is \( y=a^x+b \) , where a and b are constants. What is the value of \( a−b \) ?
原库参考解析
指数式・指数方程与函数特征挑战
The functions \(f\) and \(g\) are defined by the equations shown, where \(a\) and \(b\) are integer constants, \(a<b\), and \(b<0\). If \(y=f(x)\) and \(y=g(x)\) are graphed in the \(xy\)-plane, which of the following equations displays, as a constant or coefficient, the \(y\)-coordinate of the \(y\)-intercept of the graph of the corresponding function?
I. \(f(x)=a(2.1)^{x+b}\)
II. \(g(x)=a(2.1)^x+b\)
原库参考解析
指数式・指数方程与函数特征进阶
For the exponential function g, the table shows four values of x and their corresponding values of \( g\left(x\right) \). Which equation defines g?
原库参考解析
指数式・指数方程与函数特征进阶
What is the y-intercept of the graph of \( y=14^x \) in the xy-plane?
原库参考解析
指数式・指数方程与函数特征挑战
\( f\left(x\right)=7\left(4\right)^x \)
The function \( f \) is defined by the given equation. If \( g(x)=f(x+3) \) , which of the following equations defines the function g?
原库参考解析
指数式・指数方程与函数特征进阶
What is the y-intercept of \( y=-(4)^x-39 \) in the xy-plane?
原库参考解析
