The function f(x) = x1/3 is transformed to get function h. h(x) = (2x)1/3 + 5
which statements are true about function h?

A. as x approaches infinity, h(x) approaches infinity
B. as x approaches negative infinity, h(x) approaches negative infinity
C. the x-intercept is (5,0)
D. the domain of h is (negative infinity, positive infinity)
E. the range of the function is [5, infinity)
F. the y-intercept is (0,5)

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

How many solutions does the nonlinear system of equations graphed below have? a. one b. zero c. four d. two

Write a description of each inequality. 1. -5a + 3 > 1 2. 27 - 2b < -6 (this < has a _ under it) 3. 1/2 (c + 1) > 5 (this > has a _ under it)