10th Grade Algebra Exam #1: Functions PDF
Document Details
Uploaded by Deleted User
Tags
Summary
This is a 10th-grade algebra exam focusing on functions. It includes questions on quadratic functions, odd functions, function domain, and function compositions. The exam has several multiple-choice and problem-solving sections.
Full Transcript
Algebra – 10th grade – Exam #1 – Functions – Level A-1 1. The table of values shows below. The values of the quadratic function 𝑓 for several values of 𝑥. Which one of the following best represents 𝑓? (1 point) 𝑥 −1 0 1 2 𝑓(𝑥) −5 −3 −5 −11 A) 𝑓(𝑥) = −2𝑥...
Algebra – 10th grade – Exam #1 – Functions – Level A-1 1. The table of values shows below. The values of the quadratic function 𝑓 for several values of 𝑥. Which one of the following best represents 𝑓? (1 point) 𝑥 −1 0 1 2 𝑓(𝑥) −5 −3 −5 −11 A) 𝑓(𝑥) = −2𝑥 2 B) 𝑓(𝑥) = 𝑥 2 + 3 C) 𝑓(𝑥) = −𝑥 2 + 3 D) 𝑓(𝑥) = −2𝑥 2 − 3 2. Find the odd function. (1 point) A) 𝑓(𝑥) = 2𝑥 4 + 6𝑥 2 − 4𝑥 B) 𝑓(𝑥) = −𝑥 4 + 𝑥 2 − 1 C) 𝑓(𝑥) = 𝑥 3 + 𝑥 D) 𝑓(𝑥) = 2𝑥 3 + 𝑥 − 2 3𝑥−1 3. Find the domain of the function: 𝑓(𝑥) = 7 (1 point) 4. Given that 𝑓(𝑥) = 𝑥 2 and 𝑔(𝑥) = 4 − 2𝑥. Find 𝑓(𝑔(−1)) + 𝑔(𝑓(1)). (3 points) Algebra – 10th grade – Exam #1 – Functions – Level A-1 5. Find the domain and range of the given function: 𝑓(𝑥) = √16 − 𝑥 2 (4 points) 𝑥−1 6. If 𝑓(𝑥) = 𝑥 + 1 and 𝑔(𝑥) = , then find composition (𝑓 ∘ 𝑔)(𝑥) 𝑥+1 (2 points) 3𝑥+7 7. Find inverse of 𝑓(𝑥) = (3 points) 7
