Algebra 1B Unit 1 Lesson 2

Which of the following statements is true?

A function, f, assigns each element of the domain to one element in the range.

Which statement correctly describes the range of a function?

It is all of the possible output values of a function.

Let g be a function. Which statements are true for all functions g? Select all that apply.

The value of g(a) is the output of g corresponding to the input a. The function g assigns each element of the domain exactly one element of the range.

Which statement describes the domain of a function?

all of the possible input values for which a function is defined

Examine the following graph. https://assets.learnosity.com/organisations/625/asset/media/1155222 What is the domain of the function represented by the graph?

all real numbers

A function, named g, has an input of c and a range of all real numbers. Which option best represents the described function?

g(c)=4/5c+2/5

Which of the following answers is written in function notation and has a range of all real numbers?

g(x)=1/2x+3/2

Use the graph of the quadratic function to answer the question. https://assets.learnosity.com/organisations/625/asset/media/1077576 Which statement describes the domain of the function?

x can be any real number.

Consider the quadratic function f(x)=−x^2−6x−4, which has been given a restricted domain, as shown in the following graph. https://assets.learnosity.com/organisations/625/asset/media/1155224 What is the domain of f(x)?

x≤−1

Use the graph of the quadratic function to answer the question. https://assets.learnosity.com/organisations/625/asset/media/1077580 Which statement correctly describes the range of the function?

y≥−8

Look at the graph of connected points in the plane which make up a function. https://assets.learnosity.com/organisations/625/asset/media/1009297 What is the range of the function?

−2≤f(x)≤4

Examine the following graph. https://assets.learnosity.com/organisations/625/asset/media/1155223 What is the range of the function represented by the graph?

all real numbers

What is the domain of the equation y=2/5x−4?

all real numbers

What is the domain of the function f(x)=−1/2x+15?

all real numbers

What is the range of f(x) if f(x)=x^2?

all real numbers greater than or equal to 0

Which answers are written in function notation? Select all that apply.

p(n)=n^2−2n+1 f(x)=2x−4

Given a function, f, f(x) is in the domain of the function. Is the previous statement true or false?

False

The following graph represents a function. https://assets.learnosity.com/organisations/625/asset/media/1155374 What are the domain and range of the function? Select two answer choices. Select one answer choice for the domain and one answer choice for the range.

range: {0, 2, −4, −8} domain: {−2, −1, 0, 1, 2}

A function is represented by the following data table. (-4,1) (-2,3) (0,2) (2,-2) (4,0) What are the domain and range of the function? Select two answer choices. Select one answer choice for the domain and one answer choice for the range.

range: {−2,0,1,2,3} domain: {−4,−2,0,2,4}