State the domain of the function: $$g\left(x\right)\ =\ \sqrt[3]{x-3}\ -1$$

Domain: $$\left(-\infty,\ +\infty\right)$$

Domain: $$\left[3,\ \infty\right)$$

Domain: $$\left[-3,\ \infty\right)$$

State the range of the function: $$g\left(x\right)\ =\ \sqrt[3]{x-3}\ -1$$

Domain: $$\left(-\infty,\ +\infty\right)$$

Domain: $$\left[3,\ \infty\right)$$

Domain: $$\left[-3,\ \infty\right)$$

Let $$f\left(x\right)\ =\ \sqrt[]{x\ +\ 1.5}$$ and $$f^{-1}\ \left(x\right)\ =\ x^2\ -1.5$$ , state the domain of f(x). Hint, what number can you put into the radical to = 0?

domain: $$\left[-1.5,\ \infty\right)$$

domain: $$\left(-\infty,\ -1.5\right]\ U\ \left[1.5,\ \infty\right)$$

domain: $$\left(-\infty,\ 1.5\ U\ \left(1.5,\ \infty\right)\right)$$

domain: $$\left[1.5,\ \infty\right)$$

Let $$f\left(x\right)\ =\ \sqrt[]{x\ +\ 1.5}$$ and $$f^{-1}\ \left(x\right)\ =\ x^2\ -1.5$$ , state the domain of $$f^{-1}\left(x\right)$$ . Hint, the domain of $$f^{-1}\left(x\right)$$ is the range of f(x).

domain: $$\left[0,\ \infty\right)$$

domain: $$\left(-\infty,\ -1.5\right]\ U\ \left[1.5,\ \infty\right)$$

domain: $$\left(-\infty,\ 1.5\ U\ \left(1.5,\ \infty\right)\right)$$

domain: $$\left[1.5,\ \infty\right)$$

Find the point discontinuities, vertical asymptote, and horizontal asymptote of the following function:

P.D.: x = -5 V.A.: x = = 5 H.A.: y = 0

P.D.: none V.A.: x = = 5, -5 H.A.: y = 0

P.D.: x = 5 V.A.: x = = -5 H.A.: y = 0

P.D.: x = -5 V.A.: x = = 5 H.A.: none

Let $$f\left(x\right)\ =\ \frac{\left(2x^2\right)}{\left(9-x^2\right)}$$ . Identify the vertical asymptotes, point discontinuities, and horizontal asymptotes.

P.D.: x = none V.A.: x = 3, -3 H.A.: y = -2

P.D.: x = none V.A.: x = 3 (multiplicity) H.A.: y = -2

P.D.: x = -3 V.A.: x = 3 H.A.: y = -2

P.D.: x = none V.A.: x = -3 (multiplicity) H.A.: y = -2

Let $$f\left(x\right)\ =\ \frac{\left(2x^2\right)}{\left(9-x^2\right)}$$ . Identify the x and y intercept (if ay).

x-intercept: (0,0) y-intercept: (0,0)

x-intercept: (1,0) y-intercept: (0,1)

x-intercept: (1,0) y-intercept: (0,-1)

x-intercept: (0,1) y-intercept: (1,0)

Identify the following: 1. point discontinuities 2. vertical asymptotes 3. horizontal asymptotes 4. x-intercepts 5. y-intercepts

P.D.: x = -2 V.A.: x = -1 H.A.: y = 2 X-Int: x = -3, (-3,0) Y-Int: y = 6, (0,6)

P.D.: x = -2 V.A.: x = -1 H.A.: y = 2 X-Int: x = 3, (3,0) Y-Int: y = -6, (0,-6)

P.D.: x = 2 V.A.: x = 1 H.A.: y = -2 X-Int: x = -3, (-3,0) Y-Int: y = 6, (0,6)

P.D.: x = -2 V.A.: x = 1 H.A.: y = -2 X-Int: x = -3, (-3,0) Y-Int: y = 6, (0,6)

Pre-Calculus Test - Chapter 2: Radical, Polynomial, and Rational

Authored by Joseph Lloyd

Mathematics

12th Grade

CCSS covered

Used 2+ times

Pre-Calculus Test - Chapter 2: Radical, Polynomial, and Rational

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

20 questions

Show all answers

OPEN ENDED QUESTION

15 mins • 5 pts

Please attach your graph with labeled points. You may use a calculator for this to identify the transformation. Hint, there is no horizontal stretch or compress, along with no vertical stretch or compress.

Evaluate responses using AI:

OFF

Find the inverse of the function f(x)

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

20 questions

G12_Math+for+Bus+Eco_Term+Exam_Mock+Test

Quiz

•

12th Grade

18 questions

Graphing Stories

Quiz

•

9th - 12th Grade

15 questions

Calculo Integral (1er Parcial)

Quiz

•

11th - 12th Grade

20 questions

Întrebări despre mulțimi

Quiz

•

8th Grade - University

15 questions

Polinômios

Quiz

•

8th - 12th Grade

15 questions

Rentenrechnung 3

Quiz

•

11th Grade - University

20 questions

SATUAN PANJANG

Quiz

•

9th - 12th Grade

20 questions

Bangun ruang

Quiz

•

9th - 12th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

13 questions

SMS Cafeteria Expectations Quiz

Quiz

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

SMS Restroom Expectations Quiz

Quiz

•

6th - 8th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

10 questions

Pi Day Trivia!

Quiz

•

6th - 9th Grade

Discover more resources for Mathematics

15 questions

Pi Day Trivia

Quiz

•

9th - 12th Grade

25 questions

PI Day Trivia Contest

Quiz

•

9th - 12th Grade

20 questions

Pi Day

Quiz

•

6th - 12th Grade

20 questions

Solve Polynomials and Factoring Problems

Quiz

•

9th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems Practice

Quiz

•

9th - 12th Grade

37 questions

A.7C - Quadratic Transformations

Quiz

•

9th - 12th Grade

19 questions

DCA review - Exponent Rules

Quiz

•

9th - 12th Grade

20 questions

Dilations

Quiz

•

9th - 12th Grade