Solving Quadratic Functions: Finding Function Values, Study notes of Pre-Calculus

A set of exercises to practice finding function values for quadratic functions. Students are required to find f(-2), f(0), and f(4) for a given function f(x) = -x^2 - x - 4, and compute the sum of function values f(2) and f(3). Additionally, students are asked to express function values in terms of x for functions f(x + 3) and f(x + 3) given f(x) = 4x^2 + 1 and f(x) = 2x^2 + 9.

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2015/2016

Uploaded on 04/27/2016

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2.4 A 1
1.
If f(x) = โˆ’x2 โˆ’ x โˆ’ 4, find f(โˆ’2), f(0), and f(4).
(If an answer is undefined, enter UNDEFINED.)
f(โˆ’2) = -6 -6
f(0) = -4 -4
f(4) = -24 -24
2.
The function f is defined by
x2
1 +
2x
Compute the following:
(IMPORTANT: Provide exact expressions, not decimal approximations.)
f(2) + f(3) =
f(2 + 3) =
3.
Let f(x) = 4x2 + 1. Express the following function values in terms of x.
f(x + 3) =
f(x) + 3 =
4.
Let f(x) = 2x2 + 9. Express f(x + 3) in terms of x.
f(x + 3) =
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2.4 A 1

1. If f ( x ) = โˆ’ x^2 โˆ’ x โˆ’ 4 , find f (โˆ’2), f (0), and f ( 4 ). (If an answer is undefined, enter UNDEFINED.) f (โˆ’2) (^) = -6 - f (0) (^) = -4 - f ( 4 ) (^) = -24 - 2. The function f is defined by x^2 1 + 2 x Compute the following: (IMPORTANT: Provide exact expressions, not decimal approximations.) f(2) + f(3) = f(2 + 3) = 3. Let f(x) = 4x^2 + 1. Express the following function values in terms of x. f(x + 3) = f(x) + 3 = 4. Let f(x) = 2x^2 + 9. Express f(x + 3) in terms of x. f(x + 3) = Practice Another Version Practice Another Version Practice Another Version Practice Another Version

2.4 A 2

5. Let f ( x ) = 8 x^2 + 4. Evaluate f 1 + 6 IMPORTANT: Provide an exact expression, not a decimal approximation. The Calcpad will help you enter square roots and exponents--it appears as you click in the answer box. Recall WebAssign does not require you to simplify. f 1 + 6 = 6. Let f ( x ) = x x + 7

. Which one of the following is equal to f ( x^2 โ€“ 2 )? x^2 โˆ’ 2 x^2 + 9 x^2 โˆ’ 2 x + 7 ( x โˆ’ 2 )^2 x^2 + 5 7.8.33/8.33 points | Previous AnswersMy Notes If a is a positive real number, find the following value for the function given below. g (โˆš a ) = Practice Another Version Practice Another Version x^2 โˆ’ 2 x^2 + 5 x^2 + 7 x^2 + 5

2.4 A 4

Take the square root of the number and add 7 more than the number you started with. Square the result and add 5 more than the original number. Finally, divide the result by 9 more than the square of the original number. Write a formula for f(x). f(x) = 10. Express the number in the form a / b , where a and b are integers. 4 โˆ’ 3 โˆ’ 9/ 11. Express the number in the form a / b , where a and b are integers. โˆ’5^2 + 2 โˆ’ -49/2 -49/ 12. Simplify completely. (โˆ’2 xy^2 )^3 x^7 4 y^2 Practice Another Version Practice Another Version Practice Another Version Practice Another Version