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# Trigonometry and Functions Practice Questions

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Read the following study guide for a concept review:

Trigonometry and Functions Study Guide

## Practice Questions

 1 If f(x) = 5x + 2, then to what does 3 relate under function f? 2 If V(s) = s3, then what is V(4)? 3 What does the function relate to the number 4? 4 If f(x) = 10, what is f(17)? 5 What is s( –1), when s(t) = –16t2 + 4t + 100? 6 If C(r) = 2πr, then what is C(2.7)? 7 Evaluate k(2) for k(u) = u3 – 4u2 + 2u – 5. 8 What is –1 related to under the function q(x) = (x – 5)(x + 1)(x – 4)? 9 If f(x) = √1 – x2, then what is ? 10 when , what does p relate to the number –2? 11 Where does h take the number 10 when h(x) = √x2 – 7x + 4? 12 What is h( –7), when ? 13 Evaluate for . 14 What does do with the number 3?

Find the domain for each of the following functions.

 15 16 g(x) = 3x4 – 10x 17 h(x) = √x + 3 18 y(x) = √5x + 2 19 20 g(x) = √4 – x 21 22 h(x) = √3 – 4x 23 g(x) = x3 – √3 – x 24 25 The area A of an isosceles right triangle with base and height x is . What is the domain of A? 26 If a person works t hours on a project that pays \$100, then the hourly rate is . What is the domain of r?

Evaluate the following, using the functions h and k defined by:

h(x) = the number of digits to the left of the decimal place in x
k(x) = the number x with every digit 3 replaced by 8
 27 h(207.32) 28 h(39.5) 29 k(3,185) 30 k( 13.843)

 1 y(3) = 17, so 3 relates to 17 2 V(4) = 64 3 g(4) = 9, so 4 relates to 9 4 Because the variable x doesn't appear in the formula, there is no place to plug in x = 17. Thus, f(17) = 10. 5 s(–1) = 80 6 C(2.7) = 5.4π 7 k(2) = –9 8 –1 relates to q( –1) = 0 9 10 , so p relates 11 h(10) = √34, so h takes 10 to √34 12 h(–7) = –1 13 14 , so k takes 3 to 15 x ≠ –5 16 the domain of g consists of all real numbers, R 17 x ≥ –3 18 19 x ≠ –2 and x ≠ –4 20 x ≤ 4 21 x ≥ –5, except x ≠ 2 and x ≠ –2 22 23 x ≤ 3 24 x ≤ 2, except x ≠ 0,1,–5 25 While any number can be plugged into , we must consider the fact that x represents the base and height of a triangle. This means that x must be a positive amount. Thus, the domain of this function consists of all positive lengths x > 0. 26 The domain of r consists of all amounts of time t > 0. Negative amounts of time are impossible. 27 h(207.32) = 3 28 h(39.5) = 2 29 k(3,185) = 8,185 30 k(l3.843) = 18.848

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