Answer:
Vertical compression
Step-by-step explanation:
g(x)=0.25f(x), if you substitute for f(x) you get B
Answer:
x<1 x>-7
Step-by-step explanation:
|x+3|<4
We know x+3<4 and x+3>−4
x+3<4 (Condition 1)
x+3−3<4−3 (Subtract 3 from both sides)
x<1
x+3>−4 (Condition 2)
x+3−3>−4−3 (Subtract 3 from both sides)
x>−7
Answer:
x<1 and x>−7
Answer:
The rule that represents the function is
therefore the function is ![f(x)=x^2+1](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B1)
Step-by-step explanation:
We have 5 ordered pairs in the plane xy. This means that <em>every pair has the form (x, y).</em>
Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.
<u>The easy evaluation is that when x=0, the value of y is y=1,</u> and then we can evaluate the rule for x=-1, and x=1, <em>the value of y is the same, y=2</em>. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.
So <u>we propose the rule </u>
<u> which is correct for the first 3 values of x.</u>
Now, <em>we evaluate the proposed rule when x=2, and when x=3</em>. This evaluations can be written as
![f(2)=2^2+1=5](https://tex.z-dn.net/?f=f%282%29%3D2%5E2%2B1%3D5)
![f(3)=3^2+1=10](https://tex.z-dn.net/?f=f%283%29%3D3%5E2%2B1%3D10)
Therefore, the rule is correct, and the function is
![f(x)=x^2+1](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B1)