Answer:
y = 0.5x + 1.5
Step-by-step explanation:
I just graphed the points with GeoGebra. Hope this Helps!
Answer:
choice one
Step-by-step explanation:
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I’m pretty sure the correct answer the teacher is looking for is B
Answer:
The quadratic function whose graph contains these points is
Step-by-step explanation:
We know that a quadratic function is a function of the form . The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.
Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.
We can solve these system of equations by substitution
- Substitute
- Isolate a for the first equation
- Substitute into the second equation
The solutions to the system of equations are:
b=-2,a=-1,c=-2
So the quadratic function whose graph contains these points is
As you can corroborate with the graph of this function.
Option D: ; all real numbers.
Explanation:
Given that the functions are and
We need to determine the value of and its domain.
<u>The value of </u><u>:</u>
The value of can be determined by multiplying the two functions.
Thus, we have,
Thus, the value of is
<u>Domain:</u>
We need to determine the domain of the function
The domain of the function is the set of all independent x - values for which the function is real and well defined.
Thus, the function has no undefined constraints, the function is well defined for all real numbers.
Hence, Option D is the correct answer.