SSAT Upper Level Math : How to find x or y intercept

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

Example Question #501 : Ssat Upper Level Quantitative (Math)

Find the y-intercept:  

Possible Answers:

Correct answer:

Explanation:

Rewrite the equation in slope-intercept form, .

The y-intercept is , which is .

Example Question #11 : X And Y Intercept

What is the -intercept of the graph of the function

Possible Answers:

The graph has no -intercept.

Correct answer:

Explanation:

The -intercept of the graph of a function is the point at which it intersects the -axis - that is, at which . This point is , so evaluate :

The -intercept is .

Example Question #222 : Coordinate Geometry

Define a function . Which of the following is the -intercept of the graph of ?

Possible Answers:

Correct answer:

Explanation:

The -intercept of the graph of a function  has 0 as its -coordinate, since it is defined to be the point at which it crosses the -axis. Its -coordinate is , which can be found using substitution, as follows:

The correct choice is .

Example Question #223 : Coordinate Geometry

Define a function . Which of the following is an -intercept of the graph of ?

(a) 

(b) 

Possible Answers:

Neither (a) nor (b) 

(b), but not (a)

Both (a) and (b)

(a), but not (b)

Correct answer:

Neither (a) nor (b) 

Explanation:

An -intercept of the graph of a function  has 0 as its -coordinate, since it is defined to be a point at which it crosses the -axis. Its -coordinate is a value of  for which .

We can most easily determine whether  is a point on the graph of  by proving or disproving that , which we can do by substituting 2 for :

, so  is not an -intercept. 

Similarly, substituting 3 for :

, so  is not an -intercept. 

 

Example Question #281 : Geometry

Define . The graphs of  and a second function, , intersect at their common -intercept. Which of the following could be the definition of ?

Possible Answers:

Correct answer:

Explanation:

An -intercept of the graph of a function  has 0 as its -coordinate, since it is defined to be a point at which it crosses the -axis. Its -coordinate is a value of  for which , which can be found as follows:

Substituting the definition, we get 

Solving for  by subtracting 7 from both sides, then dividing both sides by 2:

The -intercept of the graph of  is the point .

To determine which of the four choices is correct, substitute  for  and determine for which definition of  it holds that .

 

 can be eliminated immediately as a choice since it cannot take the value 0.

 

 

:

 

 

The correct choice is .

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