9 Questions
Which of the following is the domain of the function 1/(3x^2-27)?
x ≠ 3
What is the difference quotient of the function f(x) = 3x^3 - 5x?
3x^2 - 5x
What is the composition of the functions f(x) = 4x^3 and g(x) = 2^x - 5?
2^(4x^3) - 5
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
What is the equation of the function f(x) = -4(x + 3)^2 + 2 in vertex form?
f(x) = -4(x + 3)^2 + 2
What is the speed of the ball after 5 seconds, based on Galileo's law f(t) = 4.9t^2?
49 m/s
What is the average rate of speed of the ball from 5 to 5.1 seconds?
4.9 m/s
What are we doing to the time intervals to find the average rate of speed of the ball?
Dividing them
What does the average rate of speed of the ball seem to be approaching as t = 5 seconds?
9.8 m/s
This quiz tests your understanding of various mathematical concepts including finding the domain of a function, calculating difference quotients, composing functions, and applying transformations to graphs. Sharpen your skills and challenge yourself with these questions!
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