Answer:
<em>True
</em>
Step-by-step explanation:
<em>Rate Of Change Of Functions
</em>
Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula

If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.
Let's take the first two points from the table (1,1)(2,4)

Now, we use the second and the third point (2,4) (3,9)

This difference in values of the slope is enough to state the function is non-linear
Answer: True
Answer:
(1,2)
Step-by-step explanation:
we know that
The rule of the transformation is equal to
(x, y) ------> (x + 3, y + 1)
Pre-image -----> Image
(x, y) ------> (4, 3)
so
x+3=4 ----> x=4-3=1
y+1=3 ---> y=3-1=2
therefore
The pre-image is the point (1,2)
I'm assuming you meant to write a^4 = 625.
If that is the case, then note how 625 = 25^2, and how a^4 is the same as (a^2)^2
So we go from this
a^4 = 625
to this
(a^2)^2 = 25^2
Apply the square root to both sides and you'll end up with: a^2 = 25
From here, apply the square root again to end up with the final answer: a = 5 or a = -5
As a check:
a^4 = (-5)^4 = (-5)*(-5)*(-5)*(-5) = 25*25 = 625
a^4 = (5)^4 = (5)*(5)*(5)*(5) = 25*25 = 625
Both values of 'a' work out
Answer:
I think your right :)
Step-by-step explanation: