Which is the graph of the parent reciprocal function?

4th Option / Graph is correct.

Step-by-step explanation:

We are given 4 graphs.

We need to find the graph of the parent Reciprocal Function.

Parent Reciprocal Function is defined as

Domain of this function  = { x : x ∈ R and x ≠ 0 }

Co-Domain of the function = R

Range of the function = { x : x ∈ R and x ≠ 0 }

When we draw the function on graph we get a shape of Hyperbola.

Graph of this function is attached.

Therefore, 4th Option / Graph is correct.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation: