Which of the following is not a function
2 answers:
Answer:
The first graph (ellipse) is not a function.
Step-by-step explanation:
Consider the provided graphs.
We need to determine which is not a function.
The vertical line test can be used to determine whether a graph represents a function.
If the vertical line intersect the graph more than one point then the graph is not a function.
Now consider the figure 1.
The first graph intersect the vertical line 2 times.
Therefore, the first graph (ellipse) is not a function.
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Answer:
5x + 4y = - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x - 5y = 20 ( subtract 4x from both sides )
- 5y = - 4x + 20 ( divide all terms by - 5 )
y = x - 4 ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, thus
y = - x + c ← is the partial equation
To find c substitute (- 4, 3) into the partial equation
3 = 5 + c ⇒ c = 3 - 5 = - 2
y = - x - 2 ← in slope- intercept form
Multiply through by 4
4y = - 5x - 8 ( add 5x to both sides )
5x + 4y = - 8 ← equation in standard form