<h3>
Answer: D) The y intercept is (0,1)</h3>
This can be confirmed by plugging x = 0 into the function to find that...
y = (1/2)^x
y = (1/2)^0
y = 1
Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.
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Extra info (optional section):
- We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.
- Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.
- Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.
Translation of a line segment doesn't affect it's length, 'cause it has shifted from one location to another, no change in it's size.
In short, Your Answer would be Option B
Hope this helps!
An octagon has 12 sides;
The measure of an exterior angle is:
Answer:
y= -3x -2
Step-by-step explanation:
(0 , -2) and a slope of -3
The -2 is the y-intercept, put the initial point there
Use that point and put the -3 slope
Answer:
6 year's old
Step-by-step explanation:
Grandma is G and Robin is R
G=7R
G+12=3(R+12)
G+12=3R+36
7R+12=3R+36
7R-3R=36-12
4R=24
R=6
Robin is 6 years old
