Given f(x) = $$-\frac{2}{3}x + 3$$ and g(x) = $$2x^2 - 5$$ , solve g(x) = $$9$$ .

$$2x^2 - 5$$ ; $$9 + 5 = 2x^2$$ ; $$14 = 2x^2$$ ; $$x^2 = 7$$ ; $$x = ±√7$$ ≈ ±2.65

$$9 = 2x^2 - 5$$ ; $$9 - 5 = 2x^2$$ ; $$4 = 2x^2$$ ; $$x^2 = 2$$ ; $$x = ±√2$$ ≈ ±1.41

9 = $$2x^2 - 5$$ ; 9 × 2 = $$x^2 - 5$$ ; 18 = $$x^2 - 5$$ ; $$x^2 = 23$$ ; $$x = ±√23 ≈ ±4.80$$

$$9 = 2x^2 - 5$$ ; $$9 ÷ 2 = x^2 - 5$$ ; $$4.5 = x^2 - 5$$ ; $$x^2 = 9.5$$ ; $$x = ±√9.5$$ ≈ ±3.08

Consider f(x) = $$x^2 - 2x + 6$$ and g(x) = $$2x + 11$$ . a. What is the solution to the two functions?

There is no solution where f(x) = g(x) because the quadratic and linear do not intersect .

There are two solutions where f(x) = g(x) at x = 1 and x = 5.

There is one solution where f(x) = g(x) at x = -3.

There are infinitely many solutions where f(x) = g(x).

If g(x) = $$x^2 - 5$$ , where does the graph of g(x) cross the x-axis?

At x = sqrt(5) and x = -sqrt(5)

Graph y = $$2x^2 + 3x + 1$$ . a. Describe the domain and range.

Domain: All real numbers. Range: [-1/8, $$\infty$$ )

Domain: x ≥ 0. Range: y ≥ 0

Domain: All real numbers. Range: y ≤ 0

Graph y = $$2x^2 + 3x + 1$$ . c. Write the function in vertex form.

y = $$2(x + \frac{3}{4})^2 - \frac{1}{8}$$

y = $$2(x + \frac{1}{2})^2 + \frac{3}{4}$$

y = $$2(x - \frac{1}{2})^2 - \frac{3}{4}$$

Completely describe the transformations of f(x) = $$\sqrt[]{x+3}+5$$ .

The graph shifts left by 3 units and up by 5 units.

The graph shifts right by 3 units and down by 5 units.

The graph shifts right by 5 units and down by 3 units.

The graph shifts left by 5 units and up by 3 units.

Determine the domain & range of the following graph.

D:{-4, -2, 0, 3, 6} R: {-5, -1, 0 , 1, 5}

D:{-5, -1, 0 , 1, 5} R: {-4, -2, 0, 3, 6}

Identify the Transformations.

Vertical stretch by 2 and down 4

Horizontal compression by ½ and down 4

Horizontal compression by ½ and right 4

Math 3 Study Guide

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.A.1, HSA.REI.C.7, 8.F.A.1

+11

Standards-aligned

Lovely Shena Repolido

FREE Resource

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Multiply each expression. a. (5m - 1)(m + 2) = _______

Tags

CCSS.HSA.APR.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Multiply each expression.
c. (4 + y)(3 - y) = _______

12 + 4y + y^2

12 - 3y - y^2

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSA.APR.C.4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Multiply each expression. d. 3x(2x - 5y + 4) = _______

Tags

CCSS.HSA.APR.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For the function f(x) = 1/(x+3), determine each of the following values. a. What is f(5)? (This means calculate the output of the function when x = 5.)

1/8

2

1/2

1/5

Tags

CCSS.HSF.IF.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

x = 3 or x = 7

x = -3 or x = -7

x = 1 or x = 21

x = 2 or x = 8

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

x = 3 or x = -1/2

x = -3 or x = 1/2

x = 2 or x = -3

x = 1 or x = -6

Tags

CCSS.HSA-REI.B.4B

Create a free account and access millions of resources

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

3.2.1อนุกรมเลขคณิต1

Quiz

•

10th - 12th Grade

20 questions

Conversion Metric to Metric

Quiz

•

7th Grade - University

20 questions

PRUEBA DE ECUACIONES

Quiz

•

11th Grade

20 questions

11. Sınıf Analitik, Fonksiyon, Denklem ve Eşitsizlikler Tara

Quiz

•

11th - 12th Grade

20 questions

Desafios de Adição e Subtração

Quiz

•

6th Grade - University

20 questions

Equation Line of Best Fit

Quiz

•

8th Grade - University

20 questions

UAS GANJIL MATEMATIKA XII

Quiz

•

1st Grade - University

20 questions

Sumatif Tengah Semester Genap

Quiz

•

7th Grade - University

Popular Resources on Wayground

10 questions

Forest Self-Management

Lesson

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

30 questions

Thanksgiving Trivia

Quiz

•

9th - 12th Grade

30 questions

Thanksgiving Trivia

Quiz

•

6th Grade

11 questions

Would You Rather - Thanksgiving

Lesson

•

KG - 12th Grade

48 questions

The Eagle Way

Quiz

•

6th Grade

10 questions

Identifying equations

Quiz

•

KG - University

10 questions

Thanksgiving

Lesson

•

5th - 7th Grade

Discover more resources for Mathematics

10 questions

Identifying equations

Quiz

•

KG - University

18 questions

Triangle Similarity Review

Quiz

•

9th - 12th Grade

11 questions

Solving One Step Equations

Quiz

•

6th - 12th Grade

5 questions

Triangle Congruence Theorems

Interactive video

•

9th - 12th Grade

13 questions

Reading And Writing Numerical Expression

Quiz

•

6th - 12th Grade

20 questions

Identify Functions and Relations

Quiz

•

8th - 12th Grade

15 questions

Determine equations of parallel and perpendicular lines

Quiz

•

9th - 12th Grade

18 questions

Evaluate Exponents

Quiz

•

6th - 12th Grade

Math 3 Study Guide

25 questions

Multiply each expression. a. (5m - 1)(m + 2) = _______

Multiply each expression.c. (4 + y)(3 - y) = _______

Multiply each expression. d. 3x(2x - 5y + 4) = _______

For the function f(x) = 1/(x+3), determine each of the following values. a. What is f(5)? (This means calculate the output of the function when x = 5.)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Multiply each expression.
c. (4 + y)(3 - y) = _______