Worksheet #6: Introduction to Functions - Edubirdie

University:
Highline College
Course:
MATHP 141 | Precalculus I Plus Extra Support
Academic year:

2022
Views:

431

Pages:

2
Author:

Sasha Murray

Workshop #6 1. The entire graph of the function g(x) is given below y 14 12 10 8 6 4 2 x −5 −4 −3 −2 −1 1 2 3 4 5 −2 −4 (a) (b) (c) (d) (e) What What What What What is is is is is (f) For which x values is g(x) = 6? g(2)? g(1)? g(−1)? the domain of g(x)? the range of g(x)? (g) For which x values is g(x) positive? (h) For which x values is g(x) negative? (i) For which x values is g(x) greater than 6? 2. Is the following graph a function? Explain why using the deﬁnition of a function. 3 y 2 1 x −1 1 −1 −2 −3 3. Let f (x) = 3x − 2 ﬁnd (a) f (1) (b) f (−2) (c) All x values for which f (x) = 0. 2 3 4 5 6 7 4. The function C(x) = 231 + 0.2x gives the cost of producing x feet of climbing rope in US dollars. (a) Is C(x) a linear function? (b) What is the domain of this function given the context? (c) How much money would it cost to produce 1000 feet of rope? (d) If we only produced 1000 feet of rope, how much money would we have to charge per foot in order to just break even? (e) How much money does it cost to increase production by one foot?

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