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Answer:
y = 2·3^x
Step-by-step explanation:
The shape of the graph appears exponential. The horizontal asymptote appears to be y=0, so there is no vertical offset. The y-intercept seems to be 2 (we can't really read the numbers), and the y-value seems to increase by a factor of 3 for each additional unit of x.
The multiplier is 2, and the base of the exponential factor is 3. That gives us ...
y = 2(3^x)
Answer:
x² - 2
Step-by-step explanation:
To obtain (g ○ f)(x), substitute x = f(x) into g(x), that is
g(x² - 3)
= x² - 3 + 1
= x² - 2
The line x = 2 is vertical. This means that ab is horizontal since they are perpendicular. So, the y coordinate of b must be 1.
If x = 2 bisects ab, then a and b are equal distances from x = 2.
a is 2 - (-4) = 6 units away from x = 2, so b must be 6 units away in the other direction. The x coordinate of b is 6 + 2 = 8.
The coordinate of b is (8, 1)
Answer:
No solution.
Step-by-step explanation:
When two lines have the same slope but different y-intercepts, they are parallel. Parallel lines never intersect, and therefore there is no solution.