Answer:
Step-by-step explanation:
A function satisfying the equation 
is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form 
with 
even. Observe that if 
is twice differentiable we can derivate using the chaing rule as follows:
implies 
Applying the chain rule again we have:
implies 
So we have that function 
is also an even function.
Answer:
the answer is blurry for me take a picture again
Step-by-step explanation:
Answer:
Read Below
Step-by-step explanation:
we can represent a function using a graph. Graphs display many input-output pairs in a small space. The visual information they provide often makes relationships easier to understand. We typically construct graphs with the input values along the horizontal axis and the output values along the vertical axis.
The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular
x
value. The
y
value of a point where a vertical line intersects a graph represents an output for that input
x
value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that
x
value has more than one output. A function has only one output value for each input value.
Answer: The both triangle are not scale version to each other.
Explanation:
It is given that the one rectangle measures 2 units by 7 units. a second rectangle measures 11 units by 37 units.
The two shapes are scaled version of each other if their corresponding sides are in same proportion. In other words the if two shapes scaled version of each then the shapes are similar.
The sides or first rectangle are 2 and 7. The measures of second rectangle are 11 and 37.
The proportion of small side is,
The proportion of large side is,
So,
Since the proportion are not equal, therefore both triangle are not scale version to each other.
1. Slope 3/4, through (4,-1)
y = 3/4 x + b
-1 = 3/4(4) + b
-1 = 3 + b
-1 - 3 = b
-4 = b
y = 3/4 x - 4
2. Slope = - 1/2, through (3,0)
y = -1/2 x + b
0 = -1/2(3) + b
0 = -1.5 + b
0 + 1.5 = b
1.5 = b
y = -1/2 x + 1.5
