Analyze linear, exponential, and quadratic functions by generating different representations, by hand in simple cases and using technology for more complicated cases, to show key features, including: domain and range; rate of change; intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; and end behavior.
Compare key features of two functions (linear, quadratic, or exponential) each with a different representation (symbolically, graphically, numerically in tables, or by verbal descriptions).
Build linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two ordered pairs (include reading these from a table).
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Q 1/16
Score 0
Which of the following is a characteristic of a linear function?
30
The common ratio is constant.
The exponent is always positive.
The graph is a straight line.
The y-intercept is always positive.
Q 2/16
Score 0
In an exponential function, which part is the base?
30
The constant term.
The common ratio
The exponent itself.
The coefficient of the variable.
16 questions
Q.
Which of the following is a characteristic of a linear function?
1
30 sec
NC.M1.F-IF.7
Q.
In an exponential function, which part is the base?
2
30 sec
NC.M1.A-SSE.1a
Q.
Which of the following is a characteristic of an exponential function?
3
30 sec
NC.M1.F-IF.9
Q.
Which part of an exponential function determines the growth or decay factor?
4
30 sec
NC.M1.F-IF.8b
Q.
What is the correct equation for an exponential function?
5
30 sec
NC.M1.A-SSE.1a
Q.
Which of the following represents exponential decay?
6
30 sec
NC.M1.A-SSE.1a
Q.
Which of the following represents exponential growth?
7
30 sec
NC.M1.A-SSE.1a
Q.
What is the rule for multiplying exponential expressions with the same base?
8
30 sec
NC.M1.N-RN.2
Q.
What is the rule for dividing exponential expressions with the same base?
9
30 sec
NC.M1.N-RN.2
Q.
What is the rule for raising an exponential expression to a power?
10
30 sec
NC.M1.N-RN.2
Q.
What is the simplified form of (x^2)^3?
11
30 sec
NC.M1.N-RN.2
Q.
What is the rule for a negative exponent?
12
30 sec
NC.M1.N-RN.2
Q.
What is the rule for a zero exponent?
13
30 sec
NC.M1.N-RN.2
Q.
What is the rule for raising an exponential expression to the power of 0?
14
30 sec
NC.M1.N-RN.2
Q.
Given a table, how do you determine the 'common ratio' for an exponential function?
15
30 sec
NC.M1.F-BF.1a
Q.
What does the "a" mean in an exponential function?