Algebra 1 : How to graph a function

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #1 : How To Graph A Function

Which graph depicts a function?

Possible Answers:

Question_3_incorrect_1

Question_3_incorrect_3

Question_3_incorrect_2

Question_3_correct

Correct answer:

Question_3_correct

Explanation:

A function may only have one y-value for each x-value.

The vertical line test can be used to identify the function. If at any point on the graph, a straight vertical line intersects the curve at more than one point, the curve is not a function.

Example Question #1 : New Sat Math Calculator

 

 

The graph below is the graph of a piece-wise function in some interval.  Identify, in interval notation, the decreasing interval.

 

Domain_of_a_sqrt_function

Possible Answers:

Correct answer:

Explanation:

As is clear from the graph, in the interval between  ( included) to , the  is constant at  and then from ( not included) to  ( not included), the  is a decreasing function.

Example Question #2 : How To Graph A Function

Which equation best represents the following graph?

Graph6

Possible Answers:

None of these

Correct answer:

Explanation:

We have the following answer choices.

The first equation is a cubic function, which produces a function similar to the graph. The second equation is quadratic and thus, a parabola. The graph does not look like a prabola, so the 2nd equation will be incorrect. The third equation describes a line, but the graph is not linear; the third equation is incorrect. The fourth equation is incorrect because it is an exponential, and the graph is not an exponential. So that leaves the first equation as the best possible choice.

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