Math
posted by Matt .
Let y=f(x) be a function with domain=[7,8] and range=[12,9]. Find the range of the function y=f(2x)

Can't tell. If f(x) is linear, then just multiply the range by 2 to get [18,24]
For example, if f(x) = 7/5 x  11/5
then f(2x) = 22/5  14/5 x
and the range is indeed [18,24]
But, if f(x) is not linear, say
f(x) = 7/5 x^2  403/5 then
f(2x) = 806/5  28/5 x^2
and the range is now [986/5,566/5]
Respond to this Question
Similar Questions

algebra
1 (a) A function passes through the points (0, 5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different … 
calcius
Determine whether the relation represents a function. If it is a function, state the domain and range. {(2, 1), (1, 2), (0, 3), (1, 2), (3, 6)} a. function domain: {2, 1, 0, 1, 3} range: {1, 2, 3, 6} b. function domain: {1, … 
Algebra (Last Question)
I have  to graph each relation  decide if it is a function  state the domain and the range. 1) {(2,3),(4,3),(5,1),(1,3)} how would I decide if something is a function in general? 
Math
You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function? 
math (2nd Try)
You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function? 
precalculus check immediately
suppoe f is a function with domain [1,3]and range[2,5]? 
algebra
Find the domain and range of the relation and determine whether it is a function? 
Math
For the set of ordered pairs, state the domain, range, and determine whether or not the relation represents a function. (9,9), (7,4), (1,2), (2,6), (5,0) Domain: 9,7,1,2,5 Range: 9, r, 2, 6, 0 It is a function because no x value is … 
Math
HELP PLEASE!!! I'm having some trouble with this question on my Maths hw. Any help is appreciated:) Identify the domain and range of the function. y=0.25x^2 1. domain: (oo, 0] range: (oo, oo) 2. domain: (oo, oo) range: (oo, 0] … 
Math (Domain and range)
Evaluate the function f(x)={9x+5, x<0 {9x+6, x>(or equal to)0 Determine its domain and range using interval notation?