If you horizontally compress the exponential function f(x) = 2x by a factor of 3, which of these is the equation of the new func
tion???????
A. f(x) = 6x
B. f(x) = 2(3x)
C. f(x) = 5x
D. f(x) = 3(2x)
A. f(x) = 6x
B. f(x) = 2(3x)
C. f(x) = 5x
D. f(x) = 3(2x)
2 answers:
<h2>Answer:</h2>
Option: B is the correct answer.
The equation of the new function is:
B. f(x) = 2^{3x}
<h2>Step-by-step explanation:</h2>For a given function f(x) the transformed function:
g(x)=f(bx) gives a horizontal compression or stretch depending on b
if b>1 then the graph is compressed.
and if 0 < b <1 then the graph is stretched.
We are given a parent function f(x) as:
Here we have b=3
Hence, the equation of the new function will be:
Hence, the correct answer is : Option: B
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Answer:
• x = -4, x = 0, x = 1
Step-by-step explanation:
x is a factor of all terms, so x=0 is a zero. (Eliminates choices 1 and 5.)
The sum of coefficients is 0, so x=1 is a zero. (Eliminates choices 3 and 4.)
Reversing the sign of the odd-degree terms gives signs of -++, so there is one sign change, hence one negative real root (by Descartes' rule of signs). This confirms choice 2 as the answer.
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Of course, your graphing calculator can answer this almost as quickly.
