Function notation Worksheet - paulding.k12.ga.us



NAME:_____________________Function Notation PracticeDATE:___________1. Evaluate the following expressions given the functions below:g(x) = -3x + 1f(x) = x2 + 7 a. g(10) =b. f(3) = c. h(–2) = d. j(a) = e. Find x if g(x) = 16f. Find x if j(x) = 23 2. Combine the following functions and evaluate when necessary.f(x) = 6x + 8 g(x) = 5x - 12 h(x) = 2xj(x) = 3x2 + 7x - 1 a. Find g(x) + f(x). b. Find g(x) - f(x).c. Find f(x) + j(x).d. Find (g*h) (x).e. Find (j - g)(4).f. Find (f/h)(x).g. Find (f*h)(2)h. Find f(2) * h(2)4131945144780003. Translate the following statements into coordinate points, then plot them.a. f(–1) = 1b. f(2) = 7c. f(1) = –1d. f(3) = 0e. Is f(x) a function? How do you know?481965095885f(x)yx55-5-500f(x)yx55-5-54. Given this graph of the function f(x):Find:a. f(–4) = b. f(0) = c. f(2) =d. f(-5) =e. x when f(x) = -2f. x when f(x) = 0g. Is f(x) a function? How do you know?5. Given the table below, answer the following questions:xf(x)-2-1-1103152739411a. FLASHBACK! Write the equation of the line: b. If x = 1, find f(x)c. If the domain is 1, what is the range?d. If f(x) = 11, what is the value for x?e. If the range is 11, what is the domain?f. What is the value for f(3)?g. What f(x) = -1, what is the value for x? h. Is f(x) a function? How do you know? APPLICATION6. Swine flu is attacking Porkopolis. The function below determines how many people have swine where t = time in days and S = the number of people in thousands. Graph the function.a. Find S(4).b. What does S(4) mean?c. Find t when S(t) = 23.d. What does S(t) = 23 mean? ................
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