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 \( f(x)=a(2.1^x+2.1^b) \) , 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. \( g(x)=a(2.1^x+k) \)
II. \( h(x)=a(2.1)^x+m \)
I. \( g(x)=a(2.1^x+k) \)
II. \( h(x)=a(2.1)^x+m \)
参考答案
指数式・指数方程与函数特征进阶
What is the y-intercept of the graph of \( y=16^x \) in the xy-plane?
参考答案
指数式・指数方程与函数特征进阶
What is the y-coordinate of the y-intercept of the graph of \( y=137(23)^x \) in the xy-plane?
参考答案
指数式・指数方程与函数特征进阶
The function \( f \) is defined by \( f(x)=2(3)^x \). What is the value of \( f(x) \) when \( x=4 \)?
参考答案
指数式・指数方程与函数特征挑战
The function \( f \) is defined by \( f(x)=a^x-b \), where \( a \) and \( b \) are constants. In the xy-plane, the graph of \( y=f(x) \) passes through the points (c, 8) and (2c, 218), where c is a constant. Which of the following could be the value of b?
参考答案
指数式・指数方程与函数特征挑战
The graph of \( y=a^x-b \) is shown, where a and b are constants. What is the value of b?
参考答案
指数式・指数方程与函数特征进阶
For the function h, the table gives three values of x and their corresponding values of h(x). Which equation could define h?
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 \( y=12^{x+2} \) in the xy-plane?
原库参考解析
指数式・指数方程与函数特征挑战
The exponential function \( g \) is defined by \( g(x)=5·a^{x} \), where a is a positive constant. If \( g(3)=625 \), what is the value of \( g(5) \)?
原库参考解析
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?
原库参考解析
指数式・指数方程与函数特征进阶
The function \( f \) is defined by \( f\left(x\right)=\left(-8\right)\left(2\right)^x+22 \). What is the y-intercept of the graph of \( y=f\left(x\right) \) in the xy-plane?
原库参考解析
指数式・指数方程与函数特征进阶
Which expression is equivalent to \( \left(m^4q^4z^{-1}\right)\left(mq^5z^3\right) \) , where m, q, and z are positive?
原库参考解析
