In the piece-wise function graphed below, which is the correct equation for when − 2 ≤ x ≤ 2
2 answers:
Answer:
y = - x + 2
Step-by-step explanation:
The segment for - 2 ≤ x ≤ 2 is a straight line
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 1) ← the endpoints of the line
m = =
= -
Note the line crosses the y- axis at (0, 2) ⇒ c = 2
y = - x + 2 ← equation for - 2 ≤ x ≤ 2
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Answer:
Option B , C , E are characteristics of the function .
Step-by-step explanation:
Given : function f(x)=2(x-4)^5.
To find : What are the characteristics of the function .
Solution : We have given that f(x)=2.
By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.
Since , Option E is correct.
It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.
Option C is also correct.
By transformation rule it is vertical stretch and shift to right (B )
Therefore, Option B , C , E are characteristics of the function .