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1 answer:
Answer: it is the first function: y = f(x) = 
Explanation:
1) You can give a quick answer to this question when you realize that the function graphed is restricted ot positve x - values.
Because, the domain of both 9ˣ and x⁹ is all the real numbers and, indeed, the domain of the logarithmic function is x > 0.
2) Other remarkable feature is the limit of the function as x approaches zero.
The limit of 9ˣ when x approaches 0 is 1.
The limit of x⁹ when x approaches 0 is 0
And the limit of log₉ x when x approaches 0⁺ is negative infinity.
Explanation:
1) You can give a quick answer to this question when you realize that the function graphed is restricted ot positve x - values.
Because, the domain of both 9ˣ and x⁹ is all the real numbers and, indeed, the domain of the logarithmic function is x > 0.
2) Other remarkable feature is the limit of the function as x approaches zero.
The limit of 9ˣ when x approaches 0 is 1.
The limit of x⁹ when x approaches 0 is 0
And the limit of log₉ x when x approaches 0⁺ is negative infinity.
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Answer:
The amount of calories Lucie will burn by jumping for 1 minute is 8 calories
Step-by-step explanation:
The given data values are;
Minutes Calories Burned
40 320
80 640
120 960
160 1280
The value of calories burnt and the number of minutes of jump robe are seen to be directly proportional, such that we have;
40 minutes of jump rope will yield 320 calories burnt
Therefore we have;
1 minute of jump rope will yield 320/40 = 8 calories burnt
The amount of calories Lucie will burn by jumping for 1 minute = 8 calories.