Use the zeros to construct a rough graph of a function - HiSet: High School Equivalency Test: Math
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Which of the functions below best matches the graphed function?
Which of the functions below best matches the graphed function?
First, look at the zeroes of the graph. Zeroes are where the function touches the x-axis (i.e. values of 
where 
).
The graph shows the function touching the x-axis when 
, 
, and at a value in between 1.5 and 2.
Notice all of the possible answers are already factored. Therefore, look for one with a factor of 
(which will make 
when 
), a factor of 
to make 
when 
, and a factor which will make 
when 
is at a value between 1.5 and 2.
This function fills the criteria; it has an 
and an 
factor. Additionally, the third factor, 
, will result in 
when 
, which fits the image. It also does not have any extra zeroes that would contradict the graph.
First, look at the zeroes of the graph. Zeroes are where the function touches the x-axis (i.e. values of 
The graph shows the function touching the x-axis when 
Notice all of the possible answers are already factored. Therefore, look for one with a factor of 
This function fills the criteria; it has an 
Compare your answer with the correct one above
The graph of a function is shown below, with labels on the y-axis hidden.
Determine which of the following functions best fits the graph above.
The graph of a function is shown below, with labels on the y-axis hidden.
Determine which of the following functions best fits the graph above.
Use the zeroes of the graph to determine the matching function. Zeroes are values of x where 
. In other words, they are points on the graph where the curve touches zero.
Visually, you can see that the curve crosses the x-axis when 
, 
, and 
. Therefore, you need to look for a function that will equal zero at these x values.
A function with a factor of 
will equal zero when 
, because the factor of 
will equal zero. The matching factors for the other two zeroes, 
and 
, are 
and 
, respectively.
The answer choice 
has all of these factors, but it is not the answer because it has an additional zero that would be visible on the graph. Notice it has a factor of 
, which results in a zero at 
. This additional zero that isn't present in the graph indicates that this cannot be matching function.
is the answer because it has all of the required factors and, as a result, the required zeroes, while not having additional zeroes. Notice that the constant coefficient of negative 2 does not affect where the zeroes are.
Use the zeroes of the graph to determine the matching function. Zeroes are values of x where 
Visually, you can see that the curve crosses the x-axis when
A function with a factor of
The answer choice
Compare your answer with the correct one above