Needed a. s.a. p. &

which of the following describes the function −x4 + 1?

a. the degree of the function is even, so the ends of the graph continue in opposite directions. because the leading coefficient is positive, the left side of the graph continues down the coordinate plane and the right side continues upward.

b. the degree of the function is even, so the ends of the graph continue in the same direction. because the leading coefficient is negative, the left side of the graph continues down the coordinate plane and the right side also continues downward.

c. the degree of the function is even, so the ends of the graph continue in opposite directions. because the leading coefficient is negative, the left side of the graph continues up the coordinate plane and the right side continues downward.

d. the degree of the function is even, so the ends of the graph continue in the same direction. because the leading coefficient is positive, the left side of the graph continues up the coordinate plane and the right side also continues upward.

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

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)