The function
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Chapter 4 Solutions
Algebra and Trigonometry (MindTap Course List)
- The function f(x)=5x is an exponential function with base______; f(2) =_______, f(0) =______, f(2) =_______, and f(6) =_______.arrow_forwardFind the inverse function f1 for the exponential function f(x)=2ex+15.arrow_forwardMatch the exponential function with one of the graphs labeled I,II,III and IV, shown below. (a) f(x)=2x (b) f(x)=2x (c) f(x)=2x (d) f(x)=2xarrow_forward
- The number of bacteria in a culture is increasing according to the law of exponential growth. After 1 hour there are 100 bacteria, and after 2 hours there are 200 bacteria. How many bacteria will there be after 3 hours?arrow_forwardRecall that an exponential function is any equationwritten in the form f(x)=abx such that a and b arepositive numbers and b1. Any positive numberb; can be written as b=en for some value of n. Usethis fact to rewrite the formula for an exponentialfunction that uses the number e as a base.arrow_forwardThe function f(x)=ex is called the___________ Exponential function. The number eis approximately equal to________.arrow_forward
- Let f be the exponential function with base a. a Write an equation that defines f. b Write an equation for the exponential function f with base 3.arrow_forwardDepreciation Once a new car is driven away from the dealer, it begins to lose value. Each year, a car loses 10% of its value. This means that each year the value of a car is 90% of the previous year’s value. If a new car was purchased for $20,000, the value at the end of the first year would be $20000(0.90) and the value of the car after the end of the second year would be $20000(0.90)2. Complete the table shown below. What will be the value of the car at the end of the eighth year? Simplify the expression, to show the value in dollars.arrow_forward
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