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(Answer) MATH114N – Week 8 Assignment: Radical Functions

QUESTIONS

Question 1

Graph the function f(x) = 3√x+4 -1.  Use the moveable point to adjust the graph.

Question 2

Find the domain of the function h(x) = √ -9 / x-4

(Write the domain in interval notation.)

Question 3

For the function f(x)= 3√−10x+155, find f(3).

(Enter your answer as ∅ if the function does not have a value at x=3.)

Question 4

For the function f(n) = 4√5n−231, find f(−5).

(Enter your answer as ∅ if the function does not have a value at n= −5. The ∅ symbol is available on the Sets answer entry keypad.)

Question 5

Find the domain of the function g(z) = √−10z−5.

(Write the domain in interval notation.)

Question 6

Graph the function f(x) = 3√ x−4.  Use the moveable point to adjust the graph.

Question 7

Find the domain of the function g(t)= 4√-10/ t+3.

(Write the domain in interval notation.)

Question 8

Find the domain of the function g(z)= √3 / z+4.

(Write the domain in interval notation.)

Question 9

For the function s(m) = √−14m+8, find s(−4).

(Enter your answer as ∅ if the function does not have a value at x= −4.)

Question 10

For the function f(x) = 3√11x−169, find f(4).

(Enter your answer as ∅ if the function does not have a value at x=4.)

Question 11

Graph the function f(x)=3√x+6−4. Use the moveable point to adjust the graph.

Question 12

Graph the function f(x)= 3√x-5-2. Use the moveable point to adjust the graph.

Question 13

Graph the function f(x) = 3√x – 1 – 4. Use the moveable point to adjust the graph.

ANSWERS:

Question 1

Graph the function f(x) = 3√x+4 -1.  Use the moveable point to adjust the graph.

Answer:

Question 2

Find the domain of the function h(x) = √ -9 / x-4

(Write the domain in interval notation.)

Answer: (−∞, 4)​

Question 3

For the function f(x)= 3√−10x+155, find f(3).

(Enter your answer as ∅ if the function does not have a value at x=3.)

Answer: f(3) = 5​

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