Building Functions Assessment Review
2B: Understand a graph is the set of solutions
1. Determine if the following points are on the graph of the equation 3x – 4y = 8. Justify your answer mathematically
a. (3, 6)
b. (4, 1)
c. (-4, -5)
d. (-5, 3)
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4
2. Determine if the following points are on the graph of the equation y = 𝑥 + 3. Justify your answer mathematically
a. (4, 7)
b. (- 8 , 1)
c. (-4, -5)
d. (-12, 3)
2C: Write equations given a slope and y – intercept.
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1. Slope of 6 with a y – intercept of – 5
2. Slope of 3 with a y – intercept of 4
3. Slope of – 3 and through the point (0, 9)
4. Slope of − through the point (0, - 2)
8
5
2D: Sketch a graph matching the given information.
a. Through (-2, 0) and (0, 7)
b. Through (2, 5) and (-3, -1)
d. Slope: -3; through (-2, 3)
e. Slope: 3 ; through (4, -6)
f. Through (-7, 3); increasing slope
g. x – int: 4 and y – int: -8
h. (0, -3) and (9, 0)
i. x – int: 7 and y – int: -5
a. 𝑦 = − 3 𝑥 + 2
b. 𝑦 = −4𝑥 − 3
c. 𝑦 = 2 𝑥
d. 2x – 4y = 12
e. 3x + 2y = 8
f. – 6x – 3y = 6
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c. Through (-4, 8) and (2, 8)
3A: Graphing from Equations
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5
Building Functions Assessment Review
3B: Write equations in explicit and recursive form.
Write the equation of a line that fits the given information in both explicit AND recursive form.
3
1. Through point (- 4, 2) with a slope of 4
2. Through the point (7, 2) with a slope of – 4
3. Undefined slope passing through (8, -1)
4. slope of 0 through the point (4, -3)
5.
6.
7.
x
-1
0
1
2
y
9
4
-1
-6
8.
x
-6
-3
0
3
y
-7
-5
-3
-1