Answer:
The table that represents the nonlinear function is the one where the x-values are -7, -5 and 0 and the y-values are -3, 0 and 3.
Step-by-step explanation:
In order for a table to represent a linear function, there needs to be a consistent change in y-values divided by the change in x-values. For example, for any two points on the table when we subtract two y-values and divide by the number we get when we subtract two x-values, this change should be represented throughout the table. So, in the case of the other three tables, when we choose two points from the table, such as (-5, 7) and (-2,6) and put them into an equation (y2-y1/x2-x1) or (6-7)/(-2-(-5)) we would get a change of -1/3. However, when we apply this concept to the table where x-values are -7,-5, and 0, we see that the change is not consistent between points, so the function must be nonlinear.
g(x) = 5x + 3
The options are
A)Adding 3 to the function translates the parent graph 3 units up.
B)Adding 3 to the function translates the parent graph 3 units down.
C)Adding 3 to the function translates the parent graph 3 units to the left.
D)Adding 3 to the function translates the parent graph 3 units to the right.
Answer:
Step-by-step explanation:
There are two functions f(x) = 5x and g(x) = 5x + 3
This parent function f(x) has been translated to form a new function g(x) = 5x + 3
These linear functions can be represented by two lines y = 5x and y' = 5x' + 3
So when we shift line y = 5x by 3 units up on the y-axis then a new graph of
y = 5x + 3 will be formed.
Therefore, Option A is the answer.
Answer:
A
Step-by-step explanation:
we have g(x) = 5x+3
we know that 5x=f(x)
so g(x)=f(x)+3
thus g(x) is obtained by adding 3 units to f(x)
that's means the graph of g is obtained by translating the parent function f by 3 units up
They contain instructions for your physiology and behavior.
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Some parts of your genes can become different from your parents as you are forming.