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Mathematical Concepts Quiz

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Questions and Answers

Which of the following is the domain of the function 1/(3x^2-27)?

x ≠ 9

x ≠ 0

x ≠ -3

x ≠ 3 (correct)

What is the difference quotient of the function f(x) = 3x^3 - 5x?

3x^2 - 5

9x^2 - 5

9x^2 - 5x

3x^2 - 5x (correct)

What is the composition of the functions f(x) = 4x^3 and g(x) = 2^x - 5?

2^(4x^3 - 5)

(4x^3)^2 - 5

2^(4x^3) - 5 (correct)

4(2^x - 5)^3

How can the graph of the function 1/5 f(x-5)-2 be obtained from the graph of f(x)?

Stretch vertically by a factor of 5, shift right by 5 units, and shift down by 2 units Signup and view all the answers

What is the equation of the function f(x) = -4(x + 3)^2 + 2 in vertex form?

f(x) = -4(x + 3)^2 + 2 Signup and view all the answers

What is the speed of the ball after 5 seconds, based on Galileo's law f(t) = 4.9t^2?

49 m/s Signup and view all the answers

What is the average rate of speed of the ball from 5 to 5.1 seconds?

4.9 m/s Signup and view all the answers

What are we doing to the time intervals to find the average rate of speed of the ball?

Dividing them Signup and view all the answers

What does the average rate of speed of the ball seem to be approaching as t = 5 seconds?

9.8 m/s Signup and view all the answers

Mathematical Concepts Quiz

Choose a study mode

Podcast

Questions and Answers

Which of the following is the domain of the function 1/(3x^2-27)?

What is the difference quotient of the function f(x) = 3x^3 - 5x?

What is the composition of the functions f(x) = 4x^3 and g(x) = 2^x - 5?

How can the graph of the function 1/5 f(x-5)-2 be obtained from the graph of f(x)?

What is the equation of the function f(x) = -4(x + 3)^2 + 2 in vertex form?

What is the speed of the ball after 5 seconds, based on Galileo's law f(t) = 4.9t^2?

What is the average rate of speed of the ball from 5 to 5.1 seconds?

What are we doing to the time intervals to find the average rate of speed of the ball?

What does the average rate of speed of the ball seem to be approaching as t = 5 seconds?

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