Shown in the attached figure
<h2>
Explanation:</h2>
The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:
So we need to use this function in order to obtain:
Recall that to translate a function vertically, we use the following rule:
And to translate a function horizontally, we use the following rule:
Since:
Then:
<em>g(x) is the translation of f(x) 2 units to the left and 4 units down</em>
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<h2>
Learn more:</h2>
Transformations in real-world problems: brainly.com/question/1033817
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The given function is linear and slope intercept form.
To identify the function.
<h3>What is function?</h3>
A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given that:
The given function is
y=1/2x+6
Put this equation into a graphing calculator and you will find that each y value will be 1/2 the x value plus 6
The y-intercept simply means the value of y when x=0.
The slope is 1/2 and the y-intercept is 6.
So, the given function is linear and slope intercept form.
Learn more about function here:
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Answer:
the ordered pair is (2,-1)
Step-by-step explanation:
We need to solve the system of equations using elimination method
12x - y = 25 eq(1)
9x + y = 17 eq(2)
Adding eq(1) and eq(2)
12x - y = 25
9x + y = 17
___________
21x = 42
x = 42/21
x= 2
Now, putting value of x in equation 1
12x - y = 25
12(2) -y = 25
24 -y = 25
Adding -24 on both sides
24 -y-24 = 25-24
-y = 25-24
-y = 1
Multiply both sides by -1
y = -1
the value of x = 2 and y = -1
So, the ordered pair is (2,-1)
Answer:
Step-by-step explanation:
Solve for x;
2x - ( x - 2 ) = 4x
distribute minus sign through parantheses
combine like terms
subtract x from both side
- x - x + 2 = 4x - x
- 2 = 3 x
Divide each side by 3
Answer:
a) False
b) True
Step-by-step explanation:
a) h(1) = 0/0, which is certainly undefined. There may or may not be a finite limit at that point, so the line x=1 is not necessarily a vertical asymptote.
The assertion that x=1 is necessarily a vertical asymptote is False.
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b) h(2) = 4/0, another undefined value. However, we can be certain that the limit of h(x) as x → 2 is infinite, meaning the line x=2 will be a vertical asymptote.
The assertion that x=2 is necessarily a vertical asymptote is True.
_____
The graph shows a simple example of a function that has the given characteristics.
