<h3>
Answer: The graph is shown below</h3>
Explanation:
The f(x) function is piecewise, and it has a double identity depending on what x is.
If x is between -6 and 1, excluding -6 but including 1, then f(x) = -6. This is the same as saying y = -6. This produces a horizontal flat line from x = -6 to x = 1. Note the open hole at x = -6 to indicate it's <u>not</u> part of the graph. In contrast, the closed hole at x = 1 is included.
The second piece says that y = -2x+5 when x is between 1 and 6, excluding both endpoints. We have open holes at each endpoint.
So to summarize, the f(x) function is a collection of two different functions depending on what the x input is. We only draw a small piece of each function based on the intervals provided by x.
Answer:
295.68
Step-by-step explanation:
75% of 340 is 85 so 85 laptops were sold at Best Bargin
Answer:36 miles/gallon
Step-by-step explanation:
12 miles / ⅓ gal = 36 miles/gallon
This is an exponential function.
The starting population is: 10,000 and it doubles every 14 years.
In 42 years ( 42 : 14 = 3 ) the population doubles 3 times.
The equation ( exponential ) is :
y = 10,000 * 2^n
In this case: n = 3
y = 10,000 * 2 ^3 = 10,000 * 8 = 80,000
Answer: In 42 years the population of this town will be 80,000.