Which relations are functions?

select function or not a function for each graph.

Graph 1 and 2 are functions but graph 3 and 4 are not functions.

Step-by-step explanation:

1. The first graph is of a straight line, which passes through the origin(0,0) and point (1,2).

Therefore, the equation of the straight line is y = mx {No y-intercept since the graph passes through origin}

Now, putting x = 1 and y = 2 we get, m = 2.

So, the equation becomes y = 2x which is a function because we will get one value of y regardless of the number of values of x.

2. This is a graph of a parabola having the vertex at (1,0) and axis parallel to the positive x-axis.

Now, the equation of the parabola is (x - 1)² = 4a(y - 0) = 4ay

Now, this graph also passes through (0,1) point.

So, (-1)² = 4a, ⇒

Therefore, the equation is (x - 1)² = y, which is a function because we will get one value of y regardless of the number of values of x.

3. This is an equation of not a function x = |y| i.e. x = y for y ≥ 0 and x = - y for y < 0 i.e. for one value of x we can have more than one output, that means more than one y values.

4. This is a equation of a circle having center at (0,0) and radius = 2.

Therefore, the equation is which is also not a function i.e. for one value of x we can have more than one output, that means more than one y values.

Therefore, graph 1 and 2 are functions but graph 3 and 4 are not functions. (Answer)

step-by-step explanation:

their are no angles. sorry cant .

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)