Function Graphs - Graph to Example Formula (Level 1)

This topic focuses on practicing the skill of identifying the algebraic equations or formulas that could generate specific function graphs. It is part of a foundational unit on functions, particularly emphasizing the concepts of domain and range. The problems presented require the learner to match given graphs of functions to their corresponding equations, covering various types of functions such as linear, quadratic, cubic, logarithmic, exponential, and trigonometric. This engages understanding of function properties and application of function knowledge to graphical interpretations.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Graphing - Function Graphs - Graph to Example Formula Worksheet

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Graphing - Function Graphs - Graph to Example Formula
1
Which formula would create this graph?
An svg image showing a math problem
a A LaTex expression showing y=ax to the power of 3 + bx to the power of 2 + cx + d
b A LaTex expression showing y=a to the power of x
c A LaTex expression showing y=|x|
d A LaTex expression showing y=mx+b
2
Which formula would create this graph?
An svg image showing a math problem
a A LaTex expression showing y=1 over x
b A LaTex expression showing y=ax to the power of 2 + bx + c
c A LaTex expression showing y=ax to the power of 3 + bx to the power of 2 + cx + d
d A LaTex expression showing y=a to the power of x
3
Which formula would create this graph?
An svg image showing a math problem
a A LaTex expression showing y=ax to the power of 3 + bx to the power of 2 + cx + d
b A LaTex expression showing y=1 over x
c A LaTex expression showing y=log(x)
d A LaTex expression showing y=a to the power of x
4
Which formula would create this graph?
An svg image showing a math problem
a A LaTex expression showing y=a to the power of x
b A LaTex expression showing y=mx+b
c A LaTex expression showing y=log(x)
d A LaTex expression showing y=|x|
5
Which formula would create this graph?
An svg image showing a math problem
a A LaTex expression showing y=1 over x
b A LaTex expression showing y=ax to the power of 3 + bx to the power of 2 + cx + d
c A LaTex expression showing y=mx+b
d A LaTex expression showing y=a to the power of x
6
Which formula would create this graph?
An svg image showing a math problem
a A LaTex expression showing y=ax to the power of 3 + bx to the power of 2 + cx + d
b A LaTex expression showing y=1 over x
c A LaTex expression showing y=sin(x)
d A LaTex expression showing y=mx+b
7
Which formula would create this graph?
An svg image showing a math problem
a A LaTex expression showing y=ax to the power of 3 + bx to the power of 2 + cx + d
b A LaTex expression showing y=mx+b
c A LaTex expression showing y=a to the power of x
d A LaTex expression showing y=1 over x
8
Which formula would create this graph?
An svg image showing a math problem
a A LaTex expression showing y=log(x)
b A LaTex expression showing y=1 over x
c A LaTex expression showing y=ax to the power of 2 + bx + c
d A LaTex expression showing y=|x|