Section: Math 0 Likes
Which of the following is the set of all possible values of t for (September 2023 - G01)
28) What is the value of f(−10) ?
F. −1,280
G. −1,120
H. −720
J. −10
K. 80
29) Which of the following is the set of all possible values of t for which f(t) is defined?
A. {t: t ≥4}
B. {t: t ≥−2}
C. {t: t ≤90}
D. {t: −2 ≤t ≤4}
E. {t: t is any real number}
30) In order to obtain the graph of a new function, g(t) , the graph of f(t) is translated 2 units to the right and then reflected over the x-axis. The point (1,90) on the graph of f(t) corresponds to what point on the graph of g(t) ?
F. (3,-90)
G. (-3,90)
H. (-1,-90)
J. (-1,90)
K. (90,3)
Solution
Correct answer: 28) G. −1,120 and 29) E. {t: t is any real number} and 30) F. (3,-90).
Question 29: The function f(t)=−10t²+20t+80 is a quadratic function. Quadratic functions are defined for all real values of t because there are no restrictions like denominators or square roots of negative numbers.
Therefore, the set of all possible values of t for which f(t) is defined is the set of all real numbers.
Exam Edition: September 2023 - G01
Exam Year: 2023
Related topics: Quadratic Functions, Evaluation of Functions, Arithmetic Operations