Directions: Using the digits 1 to 9, at most one time each, fill in the boxes so that the two functions are equivalent
Hint
Hint
How do you use function notation to determine the input and output of a function?
Answer
Answer
One possible answer is:
f(x) = 9x + 4
g(x) = 7x^2 – 1x + 5
f(3) = g(2)
f(x) = 9x + 4
g(x) = 7x^2 – 1x + 5
f(3) = g(2)
Post any others in the comments.
Source: Steven Midzak
I think the format is confusing, and the answer uses incorrect notation and the two functions are, in fact, never “equivalent”. Rephrase like this?
Fill in spaces with whole numbers 1 – 9 only one time, so that the final equality is correct.
f(x) = ___ x + _____
g(x) = ___ x^2 – ____x + _____
f(____) = g(_____)
I agree. I like the format you used better Tim.
Thank you for this suggestion. I’ve edited the question accordingly.
f(3) = 2x + 4
g(1) = 7x^2 – 6x + 9
F(3)=9x+4 g(2)=7x^2-1x+5
f(9)=1x+3
g(2)=4x^2-5x+6
𝑓(3)=7𝑥+6 𝑔(2)=5𝑥^2−1𝑥+9
𝑓(8)=6𝑥+4 𝑔(5)=2𝑥^2−1𝑥+7
I gave this to my IM3 classes today, here are some they came up with that are NOT listed above:
f(3) = 6x + 1 g(4) = 2x^2 – 5x + 7
f(8) = 2x + 3 g(6) = 1x^2 – 4x + 7
f(1) = 3x + 6 g(2) = 4x^2 – 8x + 9
f(2) = 3x + 4 g(1) = 7x^2 – 5x + 8
f(2) = 3x + 7 g(5) = 1x^2 – 4x + 8