A function is a special relationship where each input has a single output.
A. The set {(3, 5), (-1, 7), (3, 9)} doesn't represent a function, because input x=3 has two outputs
and ![y_2=9.](https://tex.z-dn.net/?f=y_2%3D9.)
C. The set {(1, 2), (1, 4), (1, 6)} doesn't represent a function, because input x=1 has three outputs
and ![y_3=6.](https://tex.z-dn.net/?f=y_3%3D6.)
B. The set {(1, 2), (3, 2), (5, 7)} represents a function, because each input has a single output.
Answer: correct choice is B.
Answer:
x = 162
Step-by-step explanation:
The equation editor lets you properly write exponents, so we have to assume that your equation is supposed to be equivalent to ...
27 = x/6
27·6 = x = 162 . . . . multiply by 6
_____
On the off chance you intend ...
![27=\left(\dfrac{1}{3}\right)^{\dfrac{x}{2}}](https://tex.z-dn.net/?f=27%3D%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5E%7B%5Cdfrac%7Bx%7D%7B2%7D%7D)
you can solve this by taking logarithms and dividing by the coefficient of x. Using base 3 for the logarithm may be easiest.
![\log_3{(27)}=\dfrac{x}{2}\log_3{(3^{-1})}\\\\3=-\dfrac{x}{2} \qquad\text{simplify}\\\\-6=x \qquad\text{multiply by -2}](https://tex.z-dn.net/?f=%5Clog_3%7B%2827%29%7D%3D%5Cdfrac%7Bx%7D%7B2%7D%5Clog_3%7B%283%5E%7B-1%7D%29%7D%5C%5C%5C%5C3%3D-%5Cdfrac%7Bx%7D%7B2%7D%20%5Cqquad%5Ctext%7Bsimplify%7D%5C%5C%5C%5C-6%3Dx%20%5Cqquad%5Ctext%7Bmultiply%20by%20-2%7D)
This version of the equation has solution x = -6.
Answer:
A. 1/18
Step-by-step explanation:
Answer: D) -2 |x| - 2
<u>Step-by-step explanation:</u>
A v-shaped graph is an absolute value graph.
The general form of an absolute value equation is: y = a |x - h| + k
where (h, k) represents the vertex and "a" represents the vertical stretch (aka slope).
The vertex of the given graph is (0, 2), however the graph is inverted (upside-down) which is a reflection across the x-axis. Therefore,
<h2> --> y = -2 |x| - 2</h2>
I think you forgot to put the image in the question