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

11th Grade

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Math 3 Study Guide

Quiz

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Mathematics

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11th Grade

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Practice Problem

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Hard

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CCSS

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

+11

Standards-aligned

Lovely Shena Repolido

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25 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSA.APR.A.1

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

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSA.APR.C.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSA.APR.A.1

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

1/2

1/5

Tags

CCSS.HSF.IF.A.2

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

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

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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.)

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