<h3>
Answer:</h3>
see attached for a graph
domain and range: all real numbers
<h3>
Step-by-step explanation:</h3>
The function is written in slope-intercept form, showing that it has a slope of -3 and a y-intercept of +7. The y-intercept (0, 7) is a point on the line, as is a point 1 unit to the right and down 3 units, (1, 4).
The graph will be the line through these two points.
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As with any odd-degree polynomial function, both domain and range are all real numbers: (-∞, ∞).
Answer:
y = 6
y = 0
y = 0
Step-by-step explanation:
![y=\frac{1}{2}x² -2x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%C2%B2%20-2x)
When, x = -2
![y=\frac{1}{2}\times (-2)^2-2\times(-2)\\\Rightarrow y=\frac{1}{2}4+4\\\Rightarrow y=2+4\\\Rightarrow y=6](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%28-2%29%5E2-2%5Ctimes%28-2%29%5C%5C%5CRightarrow%20y%3D%5Cfrac%7B1%7D%7B2%7D4%2B4%5C%5C%5CRightarrow%20y%3D2%2B4%5C%5C%5CRightarrow%20y%3D6)
y = 6
When, x = 0
![y=\frac{1}{2}\times (0)^2-2\times(0)\\\Rightarrow y=0+0\\\Rightarrow y=0](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%280%29%5E2-2%5Ctimes%280%29%5C%5C%5CRightarrow%20y%3D0%2B0%5C%5C%5CRightarrow%20y%3D0)
y = 0
When, x = 4
![y=\frac{1}{2}\times (4)^2-2\times(4)\\\Rightarrow y=\frac{1}{2}16-8\\\Rightarrow y=8-8\\\Rightarrow y=0](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%284%29%5E2-2%5Ctimes%284%29%5C%5C%5CRightarrow%20y%3D%5Cfrac%7B1%7D%7B2%7D16-8%5C%5C%5CRightarrow%20y%3D8-8%5C%5C%5CRightarrow%20y%3D0)
y = 0
3.5 hours each.... 7hrs if work/2 people = 3.5 hrs of work each
The value of k will be 3 if the function is transformed by compression factor of 3
Step-by-step explanation:
The horizontal stretch or compression for a function f(x) is given by g = f(bx) where b is a constant. If b> 0 then the graph of function is compressed.
As it is given in the question that he function is transformed by a compression factor of 3.
Given function
![f(x) = 7^x+1\\To\ transform\\g = f(bx)\\g = 7^{3x}+1](https://tex.z-dn.net/?f=f%28x%29%20%3D%207%5Ex%2B1%5C%5CTo%5C%20transform%5C%5Cg%20%3D%20f%28bx%29%5C%5Cg%20%3D%207%5E%7B3x%7D%2B1)
The value of k will be 3 if the function is transformed by compression factor of 3
Keywords: Functions, Transformation
Learn more about functions at:
#LearnwithBrainly
Answer:DC=7
Step-by-step explanation:
As it is written △ABC = △DBC. So the corresonding legs (the legs which are equal ) are as follows:
AC=DC AB=DB BC= BC
So DC=7 the same like AC