If the range of x is 2, what would be the range of – 3x + 50?(a) 2(b) 6(c) -6(d) 44
Question
If the range of x is 2, what would be the range of – 3x + 50?
(a) 2
(b) 6
(c) -6
(d) 44
Solution
The range of a function is the difference between the maximum and minimum values of the function.
Given that the range of x is 2, this means that the difference between the maximum and minimum values of x is 2.
The function – 3x + 50 will transform the range of x as follows:
- Multiplying by -3: This will multiply the range by -3. So, the new range is 2 * -3 = -6.
- Adding 50: This will shift all the values up by 50, but it won't change the range. So, the range remains -6.
Therefore, the range of – 3x + 50 is -6. So, the answer is (c) -6.
Similar Questions
What will range(-10,50,10) produce?Group of answer choices[-10,0,10,20,30,40,50][-10,0,10,20,30,40]660
Use a graphing utility to construct a table of values for the function. (Round your answers to three decimal places.)x f(x) = 52 −x −2−1 012
Find the range of the function defined by the table below. Express your answer as a set of numbers.xx yy99 44minus, 8−8 minus, 4−433 441010 8800 101044 1010
Select the correct answer.What is the range of the function shown on the graph above?
Find the range for the measure of the third side of a triangle when the measures of the other two sides are 2 km and 42 km.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.