hi I need help with the functions assessment
here are all the questions.
every fraction pairs ___ output value to one input value.
which set of output values correctly complete the function table which function table is correct for the rule y = x/2 + 4
identify the rule for function tables.
which rule matches the function graphed below.
Sure, I can help you with your math questions. Can you please provide more details about the assessment and the specific questions you need help with?
Given the function rule f(x)=x^2-3x+2
given the function rule f(x)=x^2-3x+2 what is the output of f(-2)?
To find the output of f(-2), we substitute the input value -2 into the function rule wherever we see "x" and simplify as follows:
f(-2) = (-2)^2 - 3(-2) + 2
f(-2) = 4 + 6 + 2
f(-2) = 12
Therefore, the output of f(-2) is 12.
3. Choose the function table that matches the given rule. (1 point)
Rule: output = input – 6
The function rule is "output = input - 6". To create the function table, we can choose any input values and find their corresponding output values using the given rule. Let's choose some input values and apply the rule:
```
input | output
--------------
-5 | -11
0 | -6
3 | -3
7 | 1
10 | 4
```
Therefore, the function table that matches the given rule "output = input - 6" is:
```
input | output
--------------
-5 | -11
0 | -6
3 | -3
7 | 1
10 | 4
```
Great, here are the answers to your questions:
1. Every fraction pairs one output value to one input value.
2. The function table for the rule y=x/2 + 4 is:
```
x | y
-------
-2 | 3
-1 | 3.5
0 | 4
1 | 4.5
2 | 5
```
3. The rule for function tables is the mathematical relationship between the input and output values. It can be represented as an equation, like f(x) = x^2 - 3x + 2, or as a function table, where each input value has a corresponding output value.
4. The graph of the function f(x) = x^2 - 3x + 2 is a parabola that opens upward and has a vertex at (3/2, -1/4).