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Precalculus- Chapter 1
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Gravity
Terms in this set (12)
Sketch the given curves together
y = 4^x, y^x, y=5^-x, y = (1/3)^x
x
Domain and range of f(x) = 1/2+e^4x
Domain: (-∞,∞)
Range: (0, 1/2)
The population of a city is
490,000 and is increasing at a rate of
4.5% each year. Approximately when will the population reach
980,000?
(Use a compound growth model.)
16 years
The half-life of an element is about 16 days. There are 4.4 grams present initially.
a. Express the amount of the element remaining as a function of time t.
b. When will there be 1 gram remaining?
Let A(t) be an expression for the amount of the element remaining as a function of time t. Let t be in number of days. What is the expression for the amount of the element remaining as a function of time t?
What is the inverse of
f(x) = x⁷ + 2
A formula for a function
y = f(x) is f(x) =x ²−2x, x≤11.
Find f⁻¹ and identify the domain and range.
Use the properties of logarithms to simplify the expression
ln (sin∅) - ln(sin∅/2)
ln (y-9) - ln3 = x +lnx
y = 3x e^x + 9
y = x²
y = x³
y = x +1
Reflections
are another tool we can use to sketch functions.
• y = −f(x) reflects the graph of f about the x-axis.
• y = f(−x) reflects the graph of f about the y-axis.
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