找到你今天要练的题。

For the exponential function f, the table above shows several values of x and their corresponding values of f(x), where a is a constant greater than 1. If k is a constant and f(k) = a²⁹, what is the value of k ?

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) -12 has a y-intercept at \( \left(0,-\frac{75}{7}\right) \) . The product of a and b is \( \frac{320}{7} \). What is the value of a ?

The function f(x) =200,000(1.21)^x gives a company’s predicted annual revenue, in dollars, x years after the company started selling light bulbs online, where 0＜x≤10. What is the best interpretation of the statement “f(5) is approximately equal to 518,748” in this context?

Which expression is equivalent to \( \left(8yz\right)\left(y\right)\left(7z\right) \)?

The graph of the exponential function \( f \) is shown, where \( y=f\left(x\right) \). The y-intercept of the graph is (0, y). What is the value of y?

\( f\left(x\right)=272\left(2\right)^x \)
The function \( f \) is defined by the given equation. If \( h\left(x\right)=f\left(x-4\right) \) , which of the following equations defines function h?

The equation E(t)=5(1.8)^t gives the estimated number of employees at a restaurant, where t is the number of years since the restaurant opened. Which of the following is the best interpretation of the number 5 in this context? 

f(t)= 8,000(0.65)^t
The given function f models the number of coupons a company sent to their customers at the end of each year, where t represents the number of years since the end of 1998, and 0≤ t ≤ 5. If y = f(t) is graphed in the ty-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?

Which expression is equivalent to (m⁴q⁴z^-1)(mq⁵z³) , where m, q, and z are positive?

The function ƒ is defined byƒ(x) =270(0.1)^x . What is the value of ƒ (0) ?

A computer program models the population of a certain insect in an environment where the insect has no natural predators. According to the model, the estimated total mass of the population of insects at the end of every 5-week period is 158% greater than the estimated total mass of the population of insects at the end of the previous 5-week period. The estimated total mass of the population of insects at the end of 15 weeks is 627.7 grams. Which equation best represents this model, where M is the estimated total mass, in grams, of the population of insects at the end of t weeks?

For a certain position, an employer offers an hourly wage of $16.00 at the start of employment. One year after the start of employment, the hourly wage is increased by 9% of the hourly wage at the start of employment. For the next five years, at the end of every 6-month interval, the hourly wage is increased by 3% of the hourly wage at the end of the previous 6-month interval. Which of the following functions H models the hourly wage, in dollars, x years after the start of employment, where 1 ≤ x ≤ 6?