Post on 17-Jul-2020
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GP3-‐College Algebra GP3-‐Quiz1 Prep GP3-‐Quiz1 on Friday 1/23/15 Quadratic Inequalities (Section 4.5 and GP3-‐HW1) 1.) Use the graph below to solve 𝑓(𝑥) ≤ 0. (Express your answer in set-‐builder notation)
The solution set is 𝑥|− 2 ≤ 𝑥 ≤ 6 . 2.) Use the graph below to solve 𝑔 𝑥 < 0. (Express your answer in set-‐builder notation)
The solution set is 𝑥| 𝑥 < −1 or 𝑥 > 4 .
3.) Solve 𝑥! − 3𝑥 − 10 ≥ 0. (Express your answer in set-‐builder notation) 𝑓 𝑥 = 𝑥! − 3𝑥 − 10 0 = 𝑥 − 5 𝑥 + 2 𝑥 = 5 or 𝑥 = −2
The solution set is 𝑥|𝑥 ≤ −2 or 𝑥 ≥ 5 . 4.) What is the domain of the function 𝑓 𝑥 = 𝑥! − 2𝑥 − 3 𝑥! − 2𝑥 − 3 ≥ 0 𝑝 𝑥 = 𝑥! − 2𝑥 − 3 0 = 𝑥 + 1 𝑥 − 3 𝑥 = −1 or 𝑥 = 3
𝐷 = 𝑥|𝑥 ≤ −1 or 𝑥 ≥ 3
Polynomial Functions (Section 5.1 and GP3-‐HW2 thru GP3-‐HW5)
5.) A monomial is a number, variable, or a product of numbers and variables. The variables have non-‐
negative integer exponents.
6.) True or False. 𝑝 𝑥 = 6 is a polynomial function. 7.) True or False. 𝑝 𝑥 = −5𝑥! is a polynomial function. 8.) True or False. 𝑝 𝑥 = 2𝑥!! is a polynomial function. 9.) True or False. 𝑝 𝑥 = 𝑥! ! is a polynomial function. 10.) What is the degree of the the polynomial function 𝑝 𝑥 = !
!𝑥! − 𝑥! + 11𝑥 + 4 ?
𝑛 = 3 11.) True or False. The graph below is the graph of a polynomial function. The end behavior of a polynomial function must be one of the following;
12.) What is the end behavior of the polynomial function 𝑝 𝑥 = −7𝑥! − 4𝑥! + 𝑥 − 3?
13.) The graph of the function 𝑓 𝑥 = 5𝑥! − 2𝑥! + 𝑥! + 3𝑥 − 1 will behave like the graph of the power
function 𝑝 𝑥 = 5𝑥! for large values of 𝑥 .
14.) Write a polynomial function in factored form that satisfies; Zeros Multiplicity 𝑥 = −3 1 𝑥 = 1 1 𝑥 = 4 2 𝑝 𝑥 = 𝑥 + 3 𝑥 − 1 𝑥 − 4 ! 15.) Select the function that matches the graph.
𝑓 𝑥 = 𝑥odd 𝑥 + 2 even 𝑥 − 2 odd Note: 2− 𝑥 = − 𝑥 − 2 So, choice B rewritten in standard form is 𝑓 𝑥 = −𝑥 𝑥 + 2 ! 𝑥 − 2