Can somebody help me plz plz

a. Function; every x-value corresponds to only 1 y-value

b. Not a function; doesn't pass the VLT

c. Function, passes the VLT

2.

a. -200

b. x= -22.5

Step-by-step explanation:

Here is the basic rule for a function:

Every input (x) value goes only to one output (y) value.

For example, an x-value of 4 cannot go to y-values of both 2 and 4. {(4,2), (4,4)

a.

In a, we see that every x value has only one line- no x-value goes to two different y values, therefore, a is a function.

b. Remember that every x-value can only have one matching y value. This definition allows us to do a special test called the vertical line test (VLT). If we pass a vertical line through a graph (|) and it doesn't pass through two points at the same x value, then that graph is a function.

However, in this graph we can clearly see that this function DOES NOT pass the VLT.

(-2, 2) and (-2,-3)

c.

We're going to use the VLT once again. If we put a vertical line through the observable graph does any x value appear to have two or more y-values? No, so this is the graph of a function

2.

g(x)= 16 -4x

g(54) is the same as saying input 54 in for x, so

16- 4(54)

16- 216 = -200

a. -200

b.

So, g(x) = 106 and they want you to determine x.

Set g(x) equal to 106 and solve:

106= 16-4x

90 = -4x

x= -22.5

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)

eve and marks ratios are equivalent

step-by-step explanation: