Quiz about eoc review open ended test original

Question 1

What is the highest exponent of a function called?

Accepted Answer

Highest Exponent

Answer

Leading Coefficient

Answer

Variable

Answer

Vertex

Question 2

What does the vertical line test determine?

Accepted Answer

If a graph is a function

Answer

If a function is increasing

Answer

If a function is decreasing

Answer

If a function is continuous

Question 3

What is the term for the x-intercept of a function?

Accepted Answer

Solution

Answer

Domain

Answer

Range

Answer

Vertex

Question 4

What is the term for the independent variable in a function?

Accepted Answer

Domain

Answer

Range

Answer

Vertex

Answer

Coefficient

Question 5

What is the term for the dependent variable in a function?

Accepted Answer

Range

Answer

Domain

Answer

Vertex

Answer

Coefficient

Question 6

What is the leading term of a polynomial function?

Accepted Answer

The term with the highest degree

Answer

The term with the lowest degree

Answer

The constant term

Answer

The term with the middle degree

Question 7

What does the leading coefficient of a polynomial represent?

Accepted Answer

The number with the leading term

Answer

The number of terms in the polynomial

Answer

The sum of all coefficients

Answer

The degree of the polynomial

Question 8

How do you determine the degree of a polynomial graph?

Accepted Answer

Count the number of peaks plus one

Answer

Count the number of x-intercepts

Answer

Count the number of turning points

Answer

Count the number of y-intercepts

Question 9

What is the end behavior of an even function with a positive leading term?

Accepted Answer

Both ends go up

Answer

Both ends go down

Answer

One end goes up, one end goes down

Answer

Both ends stay constant

Question 10

What is the leading term in a polynomial function?

Accepted Answer

The term with the highest degree

Answer

The term with the lowest degree

Answer

The constant term

Answer

The term with the middle degree

Question 11

What does the domain of a function represent?

Accepted Answer

Interval of possible x values

Answer

Interval of possible y values

Answer

The maximum value of the function

Answer

The minimum value of the function

Question 12

What is the end behavior of a function as $x o \infty$?

Accepted Answer

y 	o \infty

Answer

y o -\infty

Answer

y 	o 0

Answer

y 	o 1

Question 13

What are x-intercepts in a graph?

Accepted Answer

Points where the graph crosses the x-axis

Answer

Points where the graph crosses the y-axis

Answer

Points where the graph reaches its maximum

Answer

Points where the graph reaches its minimum

Question 14

What transformation is applied in the function $$g(x) = - (x - 4)^3 - 1$$ ?

Accepted Answer

Flip vertically

Answer

Shift left

Answer

Shift right

Answer

Stretch horizontally

Question 15

What is the effect of a negative 'a' in the function transformation?

Accepted Answer

Flip vertically

Answer

Vertical stretch

Answer

Horizontal shift right

Answer

Vertical shift up

Question 16

In the function $$g(x) = 3\sqrt{x + 1} - 7$$ , what is the transformation applied to the parent function?

Accepted Answer

Stretch by a factor of 3

Answer

Shift left 3 units

Answer

Shift up 7 units

Answer

Compression by a factor of 3

Question 17

For the function $$g(x) = -\frac{1}{2}(x - 3)^2 + 1$$ , what is the vertical transformation?

Accepted Answer

Shift up 1 unit

Answer

Shift down 1 unit

Answer

Shift right 3 units

Answer

Shift left 3 units

Question 18

What is the parent function of $$g(x) = - (x + 7)^2$$ ?

Accepted Answer

Quadratic

Answer

Linear

Answer

Radical

Answer

Logarithmic

Question 19

How does a horizontal shift to the right affect the value of 'h' in the function $ f(x) = -a(x - h) + k $?

Accepted Answer

'h' is positive

Answer

'h' is negative

Answer

'h' is zero

Answer

'h' is doubled

Question 20

Where is the center of the new function given the transformations in the equation?

Accepted Answer

(1, -4)

Answer

(0, 0)

Answer

(-1, 4)

Answer

(3, -2)

Question 21

What is the horizontal shift of the new function?

Accepted Answer

Right 1 unit

Answer

Left 2 units

Answer

Left 1 unit

Answer

Right 2 units

Question 22

What is the vertical shift of the new function?

Accepted Answer

Down 4 units

Answer

Up 4 units

Answer

Down 2 units

Answer

Up 2 units

Question 23

What is the value of $ f(3) $ if $ f(x) = 8x + 2 $?

Accepted Answer

26

Answer

24

Answer

30

Answer

20

Question 24

If $$f(x) = 2x - 3$$ and $$g(x) = 4x^2 - 9$$ , what is $$(f+g)(x)$$ ?

Accepted Answer

$$$ 4x^2 + 2x - 12 $$$

Answer

$$4x^2 - 2x - 12$$

Answer

$$4x^2 + 2x + 6$$

Answer

$$4x^2 - 2x + 6$$

Question 25

If $$f(x) = 2x - 3$$ and $$g(x) = 4x^2 - 9$$ , what is $$(f-g)(x)$$ ?

Accepted Answer

$$-4x^2 + 2x + 6$$

Answer

$$-4x^2 + 2x - 6$$

Answer

$$4x^2 - 2x + 6$$

Answer

$$4x^2 + 2x - 6$$

Question 26

If $$f(x) = 2x - 3$$ and $$g(x) = 4x^2 - 9$$ , what is $$(f \cdot g)(x)$$ ?

Accepted Answer

$$8x^3 - 12x - 27$$

Answer

$$8x^3 - 18x - 27$$

Answer

$$8x^3 - 18x + 27$$

Answer

$$8x^3 - 12x + 27$$

Question 27

If $$f(x) = 2x - 3$$ and $$g(x) = 4x^2 - 9$$ , what is ?

Accepted Answer

$$\frac{2x - 3}{4x^2 - 9}$$

Answer

$$\frac{4x^2 - 9}{2x - 3}$$

Answer

$$\frac{2x + 3}{4x^2 + 9}$$

Answer

$$\frac{4x^2 + 9}{2x + 3}$$

Question 28

What does the parameter $ a $ do to the graph of a function?

Accepted Answer

Vertical stretch or compression

Answer

Horizontal shift

Answer

Vertical translation

Answer

Reflect across the y-axis

Question 29

What effect does the parameter $ h $ have on the graph of a function?

Accepted Answer

Horizontal shift

Answer

Vertical stretch

Answer

Vertical translation

Answer

Reflect across the x-axis

Question 30

How does the parameter $ k $ affect the graph of a function?

Accepted Answer

Vertical translation

Answer

Horizontal stretch

Answer

Horizontal shift

Answer

Reflect across the y-axis

Question 31

What is the role of the parameter $ c $ in the transformation of a graph?

Accepted Answer

Horizontal scaling

Answer

Vertical translation

Answer

Vertical stretch

Answer

Reflect across the x-axis

Question 32

What is the domain given the volume function of the prism is real value?

Accepted Answer

Positive real numbers

Answer

All real numbers

Answer

Negative real numbers

Answer

Zero

Question 33

This equation represents what type of function $$f(x) = \sqrt{x - 4}$$

Accepted Answer

Radical

Answer

Linear

Answer

Exponential

Answer

Absolute Value

Question 34

Given the graph, state the domain.

Accepted Answer

$ x > 3 $

Answer

All reals

Answer

All of the above

Question 35

What is the range of the graphed function?

Accepted Answer

$ 2 \leq y \leq 6 $, [2, 6]

Answer

$ 2 \leq y \leq 4 $, [2, 4]

Answer

$ y \leq 6 $, $(- \infty, 6]$

Answer

$-2 \leq y \leq 6$, [-2, 6]

Question 36

Determine the end behavior of the function.

Accepted Answer

As $ x \to \infty $, $ f(x) \to \infty $

Answer

As $ x \to -\infty $, $ f(x) \to -\infty $

Answer

As $ x \to \infty $, $ f(x) \to -\infty $

Answer

As $ x \to -\infty $, $ f(x) \to \infty $

Answer

As $ x \to \infty $, $ f(x) \to 0 $

Question 37

Use the given graph to answer the following question: Find $ f(2) $.

Accepted Answer

15

Answer

10

Answer

5

Answer

20

Question 38

The graph $$y = (x - 4)^2$$ is shifted up 3 units and left 5 units. Which equation represents the resulting graph?

Accepted Answer

$$y = (x - 4)^2 + 3$$

Answer

$$y = (x - 8)^2 + 3$$

Answer

$$y = (x + 0)^2 - 5$$

Answer

$$y = (x + 1)^2 + 3$$

Question 39

Write an equation for the graph to the right.

Accepted Answer

$$-3\sqrt{x}$$

Answer

$$3\sqrt{x}$$

Answer

$$-\sqrt{x} + 3$$

Answer

$$\sqrt{x} + 3$$

Question 40

What transformations would be applied to $$g(x) = 2(x + 1)^3 + 3$$ to yield $$t(x) = -2(x - 1)^3 - 3$$ ?

Accepted Answer

flipped horizontally left 2 units and down 6 units

Answer

flipped horizontally right 2 units and down 6 units

Answer

flipped horizontally down 2 units and left 6 units

Answer

flipped horizontally left 2 units and up 6 units

Question 41

Find the leading term and leading coefficient of $$(3 - 3x^4)(2x^2 + 3x - 1)$$ .

Accepted Answer

Leading term: $$-6x^6$$ and Leading coefficient: 6

Answer

Leading term: $$x^6$$ and Leading coefficient: -6

Answer

Leading term: $$6x^6$$ and Leading coefficient: 6

Answer

Leading term: $$-x^6$$ and Leading coefficient: -6

Question 42

A box with an open top will be constructed from a rectangular piece of cardboard. The piece of cardboard is 6 inches wide and 10 inches long. The box will be constructed by cutting out equal squares of side $ x $ at each corner and then folding up the sides. What is the entire domain for the function $ V(x) $ that gives the volume of the box as a function of $ x $?

Accepted Answer

$ 0 < x < 2 $

Answer

$ 0 < x < 5 $

Answer

$ 0 < x < 3 $

Answer

$ 0 < x < 6 $

Question 43

Given, $$f(x) = \begin{cases} x^2 & x < 0 \ x - 3 & 0 \leq x < 2 \ \frac{1}{2}x + 1 & x \geq 2 \end{cases}$$ Find $$f(-1) + f(1)$$ .

Accepted Answer

$$\frac{1}{2}$$

Answer

$$\frac{3}{2}$$

Answer

$$\frac{5}{2}$$

Answer

3

Question 44

Given f(x) = $$(x + 3)$$ and g(x) = $$(x^2 - 9)$$ , what is $$(f + g)(x)$$ ?

Accepted Answer

$$x^2 + x - 6$$

Answer

$$x^2 + 3x - 9$$

Answer

$$x^2 + x + 3$$

Answer

$$x^2 + 3x + 6$$

Question 45

What is a piecewise function?

Accepted Answer

A function that uses different rules for different parts of its domain.

Answer

A function that uses the same rule for all parts of its domain.

Answer

A function that is always linear.

Answer

A function that is always quadratic.

Question 46

What is the value of f(-3) + 2f(4) + f(3) based on the piecewise function?

Accepted Answer

10

Answer

0

Answer

5

Answer

15

Question 47

What is the equation for a horizontal line in a piecewise function?

Accepted Answer

f(x) = y = number

Answer

f(x) = x = number

Answer

f(x) = y = x

Answer

f(x) = x + y = number

Question 48

What does a vertical line represent in a piecewise function?

Accepted Answer

A place where x is a specific number

Answer

A constant function

Answer

A place where y is a specific number

Answer

A linear function

Question 49

What is the first step in writing piecewise equations according to the document?

Accepted Answer

Draw vertical lines (asymptotes) where the open and close domain lies

Answer

Identify symmetry or asymptotes

Answer

Write each function out as system function notation

Answer

State the domain and range

Question 50

If f(x) = $$x - 3$$ and g(x) = $$x^2 - 9$$ , what is $$f(x) + g(x)$$ ?

Accepted Answer

$$x^2 + x - 12$$

Answer

$$x^2 - 3x - 9$$

Answer

$$x^2 - 12$$

Answer

$$x^2 + 3x - 9$$

Question 51

If f(x) = $$x - 1$$ and g(x) = $$x^2 - 3x + 4$$ , what is $$f(x) \cdot g(x)$$ ?

Accepted Answer

$$x^3 - 4x^2 + 7x - 4$$

Answer

$$x^3 - 3x^2 + 4x - x^2 + 3x - 4$$

Answer

$$x^3 - 3x^2 + 4x - x + 3 - 4$$

Answer

$$x^3 - 4x^2 + 7x - 3$$

Question 52

What is the domain of $$f(x) = x - 3$$ and $$g(x) = x^2 - 9$$ ?

Accepted Answer

All real numbers except x = -3 and x = 3

Answer

All real numbers except x = 3

Answer

All real numbers

Answer

All real numbers except x = 0

Question 53

What is the result of $$(f \circ g)(x)$$ if $$f(x) = x - 1$$ and $$g(x) = x^2 - 3x + 4?$$

Accepted Answer

$$x^2 - 3x + 3$$

Answer

$$(x^2 - 3x + 4) - 1$$

Answer

$$x^2 - 3x + 4$$

Answer

$$x^2 - 3x + 5$$

Question 54

Solve the absolute equation: |n| + 1 = 2.

Accepted Answer

n = 1

Answer

n = -1

Answer

n = 2

Answer

n = 0

Question 55

Solve the absolute equation: |x/7| = 5.

Accepted Answer

x = 35

Answer

x = -35

Answer

x = 7

Answer

x = -7

Question 56

Solve the absolute equation: |a - 5|/8 = 5.

Accepted Answer

a = 40

Answer

a = 45

Answer

a = 5

Answer

a = -5

Question 57

Solve the absolute equation: 4|n + 8| = 56.

Accepted Answer

n = -16

Answer

n = 6

Answer

n = -6

Answer

n = 0

Question 58

Solve the absolute equation: |7m| + 3 = 73.

Accepted Answer

m = 10

Answer

m = -10

Answer

m = 7

Answer

m = -7

Question 59

Solve the absolute equation: |x/7| - 8 = -7.

Accepted Answer

x = 14

Answer

x = 7

Answer

x = -7

Answer

x = 0

Question 60

Solve the absolute equation: |-9 + v|/8 = 3.

Accepted Answer

v = 24

Answer

v = 33

Answer

v = 9

Answer

v = -9

Question 61

Solve the absolute equation: -10|v + 2| = -70.

Accepted Answer

v = 5

Answer

v = -5

Answer

v = 0

Answer

v = -2

Question 62

Solve the inequality: |x/3| < 5.

Accepted Answer

-15 < x < 15

Answer

-5 < x < 5

Answer

-3 < x < 3

Answer

-10 < x < 10

Question 63

Solve the inequality: |b - 9| - 6 < 0.

Accepted Answer

3

Answer

b < 15

Answer

b > 3

Answer

b = 9

Question 64

Solve the inequality: |4 + x| < 14.

Accepted Answer

-18 < x < 10

Answer

-10 < x < 18

Answer

-14 < x < 14

Answer

-4 < x < 4

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics