Tyler wants to know HOW HIGH the soccer ball will get if he kicks it straight up in the air. When looking at the graph on GeoGebra, which value should he find?

where the curve hits the x-axis (positive x-intercept)

Ceiran wants to know when his model rocket will HIT THE GROUND. When looking at the graph on GeoGebra, which should he find?

where the curve hits the x-axis (positive x-intercept)

Neha is trying to find HOW MANY SECONDS it will take a golf ball TO GET TO ITS HIGHEST POINT after being hit on the golf course. Which should she look for?

where the curve hits the x-axis (positive x-intercept)

What is the vertex and what does it mean?

At 1.4 seconds the football is at a maximum height of 31 ft

At 31 seconds the football is at a maximum height of 1.4 ft

The ball is at its maximum height at 2.7 seconds

The hits the ground at 1.4 seconds.

What does the Y-INTERCEPT and what does it mean?

The ball is thrown form an initial height of 6 feet.

The ball is thrown from an initial height of 1.4 feet.

The ball reaches a maximum height of 6 feet.

The ball hits the ground at 6 seconds.

What causes the graph of y = x 2 to open downward?

multiply the x 2 by a negative number

multiply the x 2 by a number greater than 1

Which transformation transforms the graph of f(x) = x 2 to the graph of g(x) = (x + 4) 2 ?

a horizontal translation 4 units to the left

a vertical translation 4 units up

a vertical translation 4 units down

a horizontal translation 4 units to the right

What is the formula to find the vertex of a parabola?

x = $$\frac{-b}{\left(2a\right)}$$

What does it mean to find the inverse of a function?

the x's and y's are divided by 2

the x's and y's are made negative

Describe the transformation of y = f(x) for the new function y = f(x) - 5

The graph of y = f(x) was shifted down 5 units.

The graph of y = f(x) was shifted to the right 5 units.

The graph of y = f(x) was shifted to the left 5 units.

The graph of y = f(x) was shifted up 5 units.

Describe the transformation of y = f(x) for the new function y = f(x) + 5

The graph of y = f(x) was shifted up 5 units.

The graph of y = f(x) was shifted to the right 5 units.

The graph of y = f(x) was shifted to the left 5 units.

The graph of y = f(x) was shifted down 5 units.

f -1 (x) is written when...

There are two different functions

Find the domain and range of the function Hint: Use a scratch graph to help you visualize things.

Domain: [1, ∞) Range: (-∞, 4]

Domain: (-∞, ∞) Range: [-∞, 4]

Domain: [-1. ∞) Range: [4, ∞)

Domain: [4, ∞) Range: [-1,∞)

Which of the following is NOT TRUE about inverse functions?

The domain of a function becomes the domain of its inverse.

Inverse functions are reflections of each other over the line y = x.

You find the inverse by switching x and y in the equation.

The domain of a function becomes the range of its inverse.

Find the inverse function of $$f\left(x\right)=\sqrt{x}-6$$ *Hint. Check in a new tab with desmos

$$y=\left(x+6\right)^2$$ , $$x\ge-6$$

$$y=\left(x-6\right)^2$$ , $$x\ge6$$

Reasoning with Functions 1 Unit 2 Review

Authored by Melvin Von M. Todd

Mathematics

University

CCSS covered

Used 7+ times

Reasoning with Functions 1 Unit 2 Review

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90 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

-4, -1, 3

3, -3, 4, 1

4, 1, -3

3, -4, -1, 3

Tags

CCSS.HSF-IF.C.7C

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

y = -x⁴ + 5x³ + 2

y = -x³

y = x³ - 3x - 2

y = -x³ + 3x + 2

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the product:
(2x+3)²

2x+3+2x+3

4x²+12x+9

4x²+9

16x²+9

Tags

CCSS.HSA.APR.C.4

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor: x²+9x-10

(x-5)(x+2)

(x+5)(x-2)

(x+10)(x-1)

(x-10)(x+1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the degree of the function:
f(x) = 6x² + 4 - 3x⁴ + 5x - 9x³

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If f(x) = 4x³ + 5x² - 3, find f(-2).

-415

-15

-55

-615

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(-3, 5)

(3, 5)

(-3, -5)

(3, -5)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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