The graph represents a functional relationship.
2 answers:
Answer:
The value of 4 is an input of the function
Step-by-step explanation:
Define the variables
Let
x ----> the independent variable or input value
y ----> the dependent variable or output value
Looking at the graph
The domain of the graph (all possible values of x) is equal to the interval
[1,∞)
All real numbers greater than or equal to 1
The range of the function (all possible values of y) is equal to the interval
(-∞,3]
All real numbers less than or equal to 3
therefore
The value of 4 is an input of the function
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Answer:
2/3
Step-by-step explanation:
To add fractions add the numbers on top to each other and leave the bottom numbers alone if they are the same number.
Given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and by substituting their values into f(x) = 3x + 6. We will have the following:
<em><u>Given:</u></em>
- f(x) = 3x + 6
<em>We are told to find:</em>
- f(a)
- f(a + h), and
1. <em><u>Find f(a):</u></em>
- Substitute x = a into f(x) = 3x + 6
f(a) = 3(a) + 6
f(a) = 3a + 6
<em>2. Find f(a + h):</em>
- Substitute x = a + h into f(x) = 3x + 6
f(a + h) = 3(a + h) + 6
f(a + h) = 3a + 3h + 6
<em>3. Find </em><em>:</em>
- Plug in the values of f(a + h) and f(a) into
Thus:
- Add like terms
Therefore, given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and by substituting their values into f(x) = 3x + 6. We will have the following:
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