For any exponential function, f(x) = abx, the range is the set of real numbers above or below the horizontal asymptote, y = d, but does not include d, the value of the asymptote.
Overall, the steps for algebraically finding the range of a function are:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x).
If you can't seem to solve for x, then try graphing the function to find the range.
Answer:
(a) 860, (b) 860, (c) 860 and 186
Step-by-step explanation:
(a) 860
860 ends with a zero or a five, 186 and 863 do not.
(b) 860
860 ends with a zero, 186 and 863 do not.
(c) 860, 186
860, the 0 is even. 186, the 6 is even. 863, the 3 is not even.
Answer:
(3, 5)
Step-by-step explanation:
The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.
