To simplify the function, we need to know some basic identities involving exponents.
1. b^(ax)=(b^x)^a=(b^a)^x
2. b^(x/d) = (b^x)^(1/d) = ((b^(1/d)^x)
Now simplify f(x), where
f(x)=(1/3)*(81)^(3*x/4)
=(1/3)(3^4)^(3*x/4) [ 81=3^4 ]
=(1/3)(3^(4*3*x/4) [ rule 1 above ]
=(1/3) (3^(3*x)
=(1/3)(3^(3x)) [ or (1/3)(27^x), by rule 1 ]
(A) Initial value is the value of the function when x=0, i.e.
initial value
= f(0)
=(1/3)(3^(3x))
=(1/3)(3^(3*0))
=(1/3)(3^0)
=(1/3)(1)
=1/3
(B) the simplified base base is 3 (or 27 if the other form is used)
(C) The domain for an exponential function is all real values ( - ∞ , + ∞ ).
(D) The range of an exponential function with a positive coefficient and without vertical shift is ( 0, + ∞ ).
The best option is C. Provide multiple worksheets with pictures of the basic shapes for children to colour.
<h3>What does the learning process in children involve?</h3>
The process of learning has often been described to include all but not limited to the following:
- gaining new understanding,
- learning new behaviours,
- skills,
- values, attitudes, and
- preferences.
Children according to experts learn faster and easily remember what they see. Hence, providing multiple worksheets with pictures of the basic shapes for children to colour is the most cost-efficient strategy to support children in learning about shapes.
You can learn more from a related question about teaching strategies to use for children here brainly.com/question/240537
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Answer:
Step-by-step explanation:
f(x) = (x + 3)(x - 2) has two zeros: One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).
The axis of symmetry is a vertical line located halfway between -3 and 2:
x = -1/2.
The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).
With this information we can eliminate the last two possible answers. Note that the x-intercepts of the first graph are -3 and 2, Thus, the first graph is the correct one.
Answer:
Eric
Step-by-step explanation:
At 5 days (the x axis), the y axis is 60 which is how much lemonade he sold.
sarah sold 10x or 10 x 5 days=50 cups.
‘Eric sold 60, Sarah sold 50
Slope = (-1+3)/(2-1)
slope = 2
answer is <span>C) 2</span>
