Constructing Functions from Graphs Warmup

Quiz
•
Mathematics
•
9th - 12th Grade
•
Hard
+3
Standards-aligned
Michelle McFerren
Used 2+ times
FREE Resource
7 questions
Show all answers
1.
MATCH QUESTION
2 mins • 1 pt
When linear functions are graphed they have a certain type of slope.
Match the graph with the correct type of slope.
Undefined Slope
Negative Slope
Positive Slope
Zero Slope
Tags
CCSS.8.EE.B.5
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Construct a linear model for the graph.
Answer explanation
The correct linear model is identified by its slope and y-intercept. The equation y=-\frac{1}{2}x-2 has a slope of -\frac{1}{2} and a y-intercept of -2, matching the graph's characteristics, making it the correct choice.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which equation matches the graph
Answer explanation
The graph represents an exponential function. The correct equation, \(y=2(5^x)\), indicates a base of 5, which matches the growth rate shown in the graph. The other options do not fit the exponential behavior observed.
Tags
CCSS.HSF.LE.A.2
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The graph of this function is a curve going up really fast or down really fast.
Linear
Exponential
Neither
Answer explanation
The function described has a graph that increases or decreases rapidly, characteristic of exponential functions. Linear functions increase or decrease at a constant rate, not rapidly.
Tags
CCSS.HSF-IF.C.7E
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The graph of this function is a straight line.
Linear
Exponential
Neither
Answer explanation
The graph of a linear function is a straight line, which means it has a constant rate of change. In contrast, exponential functions produce curves. Therefore, the correct answer is Linear.
Tags
CCSS.HSF-IF.C.7A
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
linear
exponential
neither
Answer explanation
The function f(x) = 3x - 7 is linear because it can be expressed in the form f(x) = mx + b, where m is the slope (3) and b is the y-intercept (-7). It represents a straight line, confirming it is linear.
Tags
CCSS.8.F.A.3
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
linear
exponential
neither
Answer explanation
The function f(x) = (1/3)·5^x is exponential because it has the form a·b^x, where b (5) is a constant base raised to the variable exponent x. Thus, the correct choice is exponential.
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