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进阶
The function \( f \) is defined by \( f\left(x\right)=a^x+b \), where a and b are constants and a > 0. In the xy-plane, the graph of \( y=f\left(x\right) \) has a y-intercept at \( \left(0,-28\right) \) and passes through the point (2, 35). What is the value of a + b?
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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 below, where x ≥ 0. Which of the following equations displays, as a constant or coefficient, the minimum value of the function it defines, where x ≥ 0?
Ⅰ.\( f\left(x\right)=14\left(1.4\right)^{x+5} \)
Ⅱ.\( g\left(x\right)=14\left(1.16\right)\left(1.4\right)^{x+3} \)
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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) = 4 • 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 table shows the exponential relationship between the number of years, x, since Isela started training in pole vault, and the estimated height h(x), in meters, of her best pole vault for that year. Which of the following functions best represents this relationship, where \( x\le4 \)
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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 j(x) for exponential function j. When the graph of \( y=j\left(x\right) \) in the xy-plane is shifted up 20 units, the resulting graph is defined by function h. Which table gives three values of x and their corresponding values of h(x)?
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指数式・指数方程与函数特征挑战
The function \( f \) is defined by \( f\left(x\right)=a^x-b \), where a and b are constants. In the xy-plane, the graph of \( y=f\left(x\right) \) passes through the points (c, 7) and (2c, 117), where c is a constant. Which of the following could be the value of b?
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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 \( y=8^{x+3} \) in the xy-plane?
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指数式・指数方程与函数特征挑战
The function \( f\left(x\right)=600\left(0.5\right)^{\frac{x}{11}} \) gives the predicted intensity of a beam \( f\left(x\right) \), in number of photons in the beam, x millimeters below the surface of a certain material. What is the best interpretation of \( f\left(11\right)=300 \)?
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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 below, where \( x\ge0 \). Which of the following equations displays, as a constant or coefficient, the minimum value of the function it defines, where \( x\ge0 \)?
Ⅰ.\( f\left(x\right)=14\left(1.3\right)^{x+5} \)
Ⅱ.\( g\left(x\right)=14\left(1.09\right)\left(1.3\right)^{x+3} \)
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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 \( f\left(x\right)=0 \)?
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指数式・指数方程与函数特征挑战
\( q\left(x\right)=15\left(3^x\right) \)
Which table gives three values of x and their corresponding values of q(x) for function q?
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指数式・指数方程与函数特征进阶
A beaker containing a liquid is placed on a table. The function \( g\left(t\right)=294+\left(363-294\right)\left(2.72\right)^{-0.103t} \) 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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