
Solving Complex Equations Using Graphs

Interactive Video
•
Mathematics, Computers
•
9th - 12th Grade
•
Hard

Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial equation that needs to be solved?
2^(x^2 - 3) = 1/(x^(1/3))
2^(x^2 - 3) = 1/x
2^(x^2 - 3) = x^(1/3)
2^(x^2 - 3) = x^3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of raising both sides of the equation to the negative 3 power?
2^(-3x^2 + 9) = 1/x
2^(-3x^2 + 9) = x
2^(-3x^2 + 9) = x^3
2^(-3x^2 + 9) = x^(-1/3)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it difficult to solve the equation algebraically?
The equation involves irrational numbers.
The equation is not defined for all x.
The equation has no real solutions.
The equation is too complex for algebraic methods.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of graphing the functions y = 2^(x^2 - 3) and y = 1/(x^(1/3))?
To determine the domain of the functions.
To find the maximum value of the functions.
To compare the growth rates of the functions.
To find the intersection point, which is the solution.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function f(x) in the graph?
f(x) = x^(1/3)
f(x) = 2^(x^2 - 3)
f(x) = x^3
f(x) = 1/x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function g(x) in the graph?
g(x) = 2^(x^2 - 3)
g(x) = x
g(x) = x^3
g(x) = 1/(x^(1/3))
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What tool is suggested for graphing the functions to find the solution?
Google Sheets
Microsoft Excel
Desmos
Python
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