ANSWER
To graph the function
we need to plot some few points within one period. Since the interval is not given, we shall use
'
.
We plot the above points to obtain the graph as shown in the attachment.
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1 answer:
Answer:
a) domain: (0, ∞)
b) range: (-∞, ∞)
c) increasing everywhere
d) concave downward
Step-by-step explanation:
a) Your knowledge of the log function tells you it is defined for positive arguments. 9x > 0 means x > 0. The domain is all positive real numbers.
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b) Your knowledge of the log function tells you it has output values ranging from -∞ to +∞. The range is all real numbers.
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c) The function is monotonically increasing.
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d) Since the output does not increase as fast as the input (the first derivative is decreasing), the function is concave downward.
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Answer:
<em>k=-3</em>
Step-by-step explanation:
<u>Equation of a line</u>
The general equation of a line can be written as:
Ax+By=C
The x-intercept is the point where the line crosses the x-axis, i.e. y=0, thus replacing x=3 and y=0:
A(3)+B(0)=C
3A=C
Solving for A:
A=C/3
The y-intercept is the point where the line crosses the y-axis, i.e. x=0, thus replacing x=0 and y=5:
A(0)+B(5)=C
5B=C
Solving for B:
B=C/5
Replacing into the general equation:
Simplifying by C:
The point P(k,10) belongs to the line, thus:
Operating:
Multiplying by 3: