give an example if a linear equation in one variable with infinitely many solutioms. Explain how you know it has many solutions.
2 answers:
There can be zero solutions, 1 solution or infinite solutions--each case is explained in detail below.
<span>Note: Although systems of linear equations can have 3 or more equations,we are going to refer to the most common case--a stem with exactly 2 lines.</span>
Case I: 1 Solution
Case 3: Infinite Solutions
This is the most common situation and it involves lines that intersect exactly 1 time.
Case 2: No SolutionsThis only happens when the lines are parallel. As you can see, parallel lines are not going to ever meet.
Example of a stem that has no solution:
Case 3: Infinite Solutions
This is the rarest case and only occurs when you have the same line
Consider, for instance, the two lines below (y = 2x+1 and 2y = 4x +2). These two equations are really the same line .
Example of a system that has infinite solutions:
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Answer:
The correct option is 1.
Step-by-step explanation:
The given parent function is
1. Domain of the function is all positive real number including 0.
2. Range of the function is all positive real number including 0.
3. It is an increasing function. It increases at decreasing rate.
First graph increase at decreasing rate and it starts from (-4,-1), therefore the required function is
Therefore graph 1 is an example of a function whose parent graph is of the form y = √x.
Second graph is a parabola, so it is the graph of a quadratic function.
Third graph is a rectangular hyperbola, so it is the graph of a rational functions.
Fourth graph is increasing at increasing rate, so it is the graph of an exponential function.
Therefore options 2, 3 and 4 are incorrect.
