To get the average rate of change (ARC) of f(x) over [x1, x2], we use the formula:
ARC = ( f(x2) - f(x2) ) / (x2 - x1)
From the graph
f(2) = 4
f(-2) = 4
Plugging in the values into the formula:
ARC = (4 - 4) / (2 - (-2) )
ARC = 0
The points connecting (-2,4) amd (2,4) is a horizontal line that is the rate of change is 0.
Answer:
SAS
Step-by-step explanation:
It doesnt show the hypotenuse so its no HL
It doesnt show 2 angles so its not SAA or ASA
It doesnt show three sides so its not SSS
The little line indicates that the sides are congruent. They both have a right angle and the bottom lines are right on top of each other so its SAS
Because 4 is in the 10's place and 14's 4 is also in the tens place
this formula, doesn't rely on a product, relies on a "sum", or is namely an arithmetic sequence, aₙ₋₁ -3 is another way of saying, the value of the previous term minus 3, so it relies on the ordinal value of a term, so is an recursive formula, well, let's get it when n = 4.
Answer:
y = x^2 - 4x - 6.
Step-by-step explanation:
The roots are 2 + √10 and 2 - √10, so in factor form we have:
(x - (2 + √10))(x - (2 - √10))
= ( x - 2 - √10)(x - 2 + √10)
= x^2 - 2x + √10x - 2x + 4 - 2√10 - √10x + 2√10 - √100
= x^2 -4x + 4 - 10
= x^2 - 4x - 6.
