Quiz about College Algebra Unit 1 Review

Question 1

GRAPHING THE EQUATION:

y = -3|x|

What transformation(s) are made from the original |x| graph?

Accepted Answer

Reflection over x and vertical stretch

Answer

Reflection over x

Answer

Reflection over y and vertical stretch

Answer

Reflection over x and vertical shrink

Question 2

GRAPHING THE EQUATION:

y =x³ + 3

What transformation(s) are made from the original x³ graph?

Accepted Answer

Shift up by 3

Answer

Shift right by 3

Answer

Shift left by 3

Answer

Shift down by 3

Question 3

Is it a function?

{(-8,4), (-8,-3), (2,-6), (6,-7), (7,-3)}

Accepted Answer

N0

Answer

YES

Question 4

Evaluate the function.

f(x) = x³ - 6x² - 7 ; f(-4)

Accepted Answer

$$\frac{-70}{9}$$

Answer

$$\frac{-35}{8}$$

Answer

$$\frac{10}{9}$$

Answer

$$\frac{-64}{9}$$

Question 5

Use the graph to find f(-4)

Accepted Answer

4

Answer

-4

Answer

13

Answer

1.75

Question 6

Is the following a function?

x² + y² = 36

Accepted Answer

y is not a function of x

Answer

y is a function of x

Question 7

Determine whether the given function is even, odd or neither.

f(x) = x³ + x² - 4

Accepted Answer

Neither

Answer

Odd

Answer

Even

Question 8

Find the relative maxima and minima.

Accepted Answer

min: (1.5, -4) max: (-1.5, 16)

Answer

max: (-1.5, 16) & (0,0) min: (1.5, -4)

Answer

max: (1.5, -4) min: (-1.5, 16)

Answer

no maximum or minimum

Question 9

Refer to picture for question.

Accepted Answer

y = -4200x + 21,000 ; value after 3 years: $8400.00

Answer

y = 4200x - 21,000 ; value after 3 years: $8400.00

Answer

y = -21,000x + 21,000 ; value after 3 years: $-42,000.00

Answer

y = 21,000x + 5 ; value after 3 years: $8400.00

Question 10

Evaluate the piecewise function at the given value of the independent variable.

Accepted Answer

$$\frac{-31}{3}$$

Answer

5

Answer

6

Answer

$$\frac{-11}{3}$$

Question 11

Write the equations in slope-intercept form:

Passing through (5, -6) and (-2,5)

Accepted Answer

$$y=\frac{-11}{7}x+\frac{13}{7}$$

Answer

$$y+6=\frac{-11}{7}(x-5)$$

Answer

$$y=mx+\frac{13}{7}$$

Answer

$$y=\frac{11}{7}x+\frac{13}{7}$$

Question 12

Passing through (2,5) and perpendicular to the line whose equation is y = 17 x + 9

What is the equation in slope-intercept form?

Accepted Answer

$$y=-7x+19$$

Answer

$$y=7x-19$$

Answer

$$y=\frac{-1}{7}x-\frac{19}{7}$$

Answer

$$y=-7x-19$$

Question 13

Determine the slope and y-intercept of the equation.

6x - 3y - 18 = 0

Accepted Answer

m = 2; (0,-6)

Answer

m = -2; (0,6)

Answer

m = 6; (0,18)

Answer

m = 0.5 ; (0,3)

Question 14

Graph x². Tell what transformation need to be performed for h(x) = (x-2)²

Accepted Answer

Shift right 2

Answer

Shift up 2

Answer

Shift left 2

Answer

Shift down 2

Question 15

Find the average rate of change:

f(x) = -3x² - x

from x₁= 7 to x₂ = 9

Accepted Answer

-49

Answer

$$\frac{-98}{2}$$

Answer

-45

Answer

$$\frac{1}{45}$$

Question 16

Find the given composition.

f(x) = x² + 2x - 3

g(x) = x² +2x - 5

f(g(5))

Accepted Answer

957

Answer

1081

Answer

961

Answer

1085

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