Answer the question or provide an explanation.Explain why the function f(x) = (x + 9)3 - 4 is a one-to-one function.
What will be an ideal response?
Answers will vary. Considering the set of ordered pairs associated with f, for each second component there is exactly one first component. If you graph f, note that f passes the horizontal line test.
You might also like to view...
Express the given function as a composite of functions f and g such that y = f(g(x)).y = 
A. f(x) = x, g(x) = 3x + 9
B. f(x) = 
, g(x) = 3x - 9
C. f(x) = -
, g(x) = 3x + 9
D. f(x) = 
, g(x) = 3x + 9
Perform the indicated operation and simplify.
+ 
A. 
B. 
C. 
D. 
Use the theoretical probability formula to solve the problem. Express the probability as a fraction reduced to lowest terms.Use the spinner below to answer the question. Assume that it is equally probable that the pointer will land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again. Find the probability that the arrow will land on 2 or 3. 
A. 2
B. 1
C. 
D. 
Use a graphing calculator to sketch the graph of the quadratic equation, and then determine the x-intervals over which the graph is increasing and decreasing.y = 5x2 - x + 3
A. Increasing: (x > 0.1), Decreasing: (x < 0.1) B. Increasing: (x < 0.1), Decreasing: (x > 0.1) C. Increasing: (x > 3), Decreasing: (x < 3) D. Increasing: (x > -0.1), Decreasing: (x < -0.1)