Question

Martin is logging the number of strikes he bowls per hour. He has determined the function to be f(x) = 2x + 5, where x represents hours and f(x) represents the number of strikes he has bowled. Which of the following options describes the restrictions to the domain and range correctly?

Domain, nonnegative values; range, values greater than −2.5
Domain, nonnegative values; range, values greater than or equal to 5
Domain, nonnegative values; range, values less than −2.5
Domain, nonnegative values; range, values less than or equal to 5

Answer 1

number of strikes hour,  f(x) = 2x + 5,

Domain, nonnegative values; range, values greater than −2.5 --> FALSE . The minimum value of f(x) is when x = 0, which drives to f(x) = 5 => -2.5 is no in the range.

Domain, nonnegative values; range, values greater than or equal to 5 --> TRUE. f(x) is defined for zero and all positive x, hours, and the set of images is  equal or greater than 5.


x = 0, f(x) = 5

x =1, f(x) = 2 + 5 =7

x = 2, f(x) = 2(2) + 5 = 9

x = 3, f(x) = 11