Answer:
- ∞ < y < ∞
Step-by-step explanation:
The given function is, ![y = \sqrt[3]{x + 8}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%20%2B%208%7D)
.
Now, the origin function of this above function is, ![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
which has real y-values as output for all real x-values input.
Hence, the function will ba valid for all real values of x and will have real y-value corresponding to each x-value.
Therefore, the range of this function i.e. the y-value of this function will be
- ∞ < y < ∞. (Answer)
The y intercept is the starting point of a graph, which is 0. find 0 in the graph. that’s your y intercept. (0,8)
Answer:
8
Step-by-step explanation:
10 plus 6 is 16
divide by 2
you get 8
9514 1404 393
Answer:
1. a, b, c - represent growth
2. b, c, d - represent decay
Step-by-step explanation:
If increasing x results in a larger value, the function represents growth. If it results in a smaller value, the function represents decay.
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To answer these questions, you can look at the base and the exponent. When we say "exponent" here, we mean <em>the coefficient of the exponent variable</em>. There are four possibilities:
growth:
- exponent positive, base > 1
- exponent negative, base < 1
decay:
- exponent positive, base < 1
- exponent negative, base > 1
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<u>Growth questions</u>:
1.77^x -- growth
1.5^(x/2) -- growth
0.5^(-x) -- growth (= 2^x)
e^(-t) -- decay (e ≈ 2.718)
<u>Decay questions</u>:
1.7^x -- growth
1.7^(-2x) -- decay
(1/3)^x -- decay (= 3^(-x))
2^(-x) -- decay
