Martin is logging the number of strikes he bowls per hour. He has determined the function to be f(x) = 2x + 5, where x represent
s 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
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.
The inverse of a function is determined by substituting f(x) by y and expressing the function in terms of x = ... Then exchange the places of x and y. In this problem, y = 0.5 x -1; x = 2(y+1) . Then g(x) = y = 2x +2. The graphs are linear but g(x) has a larger slope compared to f(x).
