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5 questions · Shuffled order · Untimed practice
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For f(x) = 5 − 2x, find f(−3).
Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.
11. Substitute the negative input with parentheses: f(−3) = 5 − 2(−3) = 5 + 6 = 11.
A linear f has f(2) = 11 and f(6) = 23. Find f(0).
Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.
5. The slope is (23 − 11)/(6 − 2) = 12/4 = 3. From f(2)
For V(t) = 90 − 6(t − 5), find V(0).
Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.
120. V(0) = 90 − 6(0 − 5) = 90 + 30 = 120. The 90 is the value at t
A linear f satisfies f (10) − f(4) = 18. Find f(8) − f(3).
Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.
15. A six-unit input increase produces an 18-unit output increase, so the slope is 3. The requested input change is 8 − 3
If f(x) = 2x + 7 and g(x) = f (3x − 1) − 4, find g(2).
Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.
13. At x
Review Linear functions and models