The definition of the piece-wise function is:
- .
<h3>What is a piece-wise function?</h3>
A piece-wise function is a function that has different definitions, depending on the input.
In this problem, for inputs between -2 and 2, the function is a line that goes through (-2,-4) and (2,6). The slope is:
m = (6 - (-4))/(2 - (-2)) = 2.5.
The y-intercept is of b = 1, hence the rule is:
For x greater than 2 and less than 6, the function is constant at -3, hence the rule is:
.
More can be learned about piece-wise functions at brainly.com/question/27262465
#SPJ1
Answer: part of the alphabet
Step-by-step explanation: nice
<h2>
Answer:</h2>
The statement which best describes the effect of replacing the function f(x) with g(x) is:
The graph shifts 7 units up.
<h2>
Step-by-step explanation:</h2>
The function f(x) is given by :
The function f(x) is a linear function with positive slope.
and the function g(x) is given by:
The function g(x) is a linear function with same positive slope.
Also, we know that any transformation of the type:
f(x) → f(x)+k
is a translation transformation such that it if k>0 then it is a shift k units upwards and if k<0 then it is a shift k units downward.
Here we have:
g(x)=2x+5-2+2
i.e.
g(x)=2x-2+7
i.e.
g(x)=f(x)+7
Hence, the function g(x) is a translation of the function f(x) 7 units upward.
<u>Answer</u>
A) 40°
<u>Explanation</u>
Assuming that the angles are measured from the center, we can use the properties of a circle to find <CAE.
Angles subtended by at the center by the same arc double the angle at the circumference.
Find the attached file to see the working and the answer.
Answer:
I think its A but im not to sure
Step-by-step explanation: