Functions and Relations Exam Review
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a) Circle a section of the above graph that demonstrates a positive slope.
b) What is the meaning of a negative slope on this graph?
c) Give a possible reason why there is no zero slope on this graph.
d) What is the value of the y intercept? What is its meaning on this graph?
2. a) Sketch relation that is a function.
b) Sketch a relation that is NOT a function.
c) How does a vertical line test prove if a relation is a function or not?
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3. These relations are identified by ordered pairs. Complete 2 of the 3 missing
information sections. Determine whether the relation is a function and identify why.
a. (0, 1), (1, 2), (2, 3), (3, 3) (4,5)
Domain & Range
Table
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Mapping Diagram
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Function? Yes / No
Why?
4. Calculate the values for the following function notation.
b) y (x) = x 2  7 y(-3) =?
a) h(t) = - 0.2t + 126 h(40) = ?
c) H (t) = 7x 2 H ( t) = 112
d) y(x) = 3x + 7
y(x) = 43
e) What is one benefit of function notation?
5. a) Name the 3 functions we studied within this unit.
b) Sketch these 3 functions and write the appropriate equation under their matching
graph.
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yx
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y  x2
y x
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6. Place the letter of the correct equation beside the corresponding graph.
b) y  6 x
a) y  5x 2
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d) y  3x 2
c) 7 y  x 2
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7. State the transformations.
a) y  8x 2  4
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b) 4 y  x  2
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c) y  ( x  2) 2
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1
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e) y  1 / 4 x 2
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d) y  2 
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8. Write in mapping notation.
a) y  4 x 2  2
b) y  2  x  5
c) y  8x 2  4
d) y  ( x  2) 2
e) Name the form of the equation in “b”, standard or transformational, and explain
how you know.
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9. Sketch the following functions with the stated transformations.
a) A quadratic relation that is reflected and has a vertical shift of 3 down.
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*Write the mapping notation for this description.
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b) An absolute value that has a horizontal shift of 3 to the left and a vertical shift
up one.
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*Write the equation for this description. .
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