Math Practice Sheets
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21. The equation of a line: Given these two points A = (2,5) and B = (6,-1)
a. Find the distance between A and B. State the answer in reduced radical form.
b. Determine the slope of the line through A and B.
c. Write the equation of the line determined by A and B in slope-intercept form as a function. (f(x) =
mx+b)
−1
d. Write the equation of the inverse to the original function
f
(x) ( show work)
−1
e. Sketch the points, the original line, f(x), and the inverse function
f
(x) on this coordinate
system. Label each one.
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x −1
2. A rational function: Given
f (x) =
€
2x + 3
a. Determine the domain of f(x)
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b. State the x-intercept (a,0) as an ordered pair.
c. State the y-intercept (0,b) as an ordered pair.
d. f(-3) =
2
x
−1
e. What is the result when you divide f(x) by
? Show your work
2
2x
+ 3x
3. Exponential and Logarithmic functions and expressions.
1
a.
log
b. Solve for x:
log
(x −1) = 2
=
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3
4
81
4.
Graphing Transformations: Given this graph of
y = x use the shifting techniques to draw
each of the following:
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€
€
y = x
y = x − 2
y = − x
y = x + 3
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€
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5.
The number line Determine the value of each letter (showing your work) and place the letter at
the correct position on the number line. Draw a dot and write the letter.
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