Quiz about College Algebra Course Review

Question 1

What is the end behavior of $$f\left(x\right)=-\left(x-2\right)\left(x+3\right)\left(x-1\right)^{2\ }$$ ?

Accepted Answer

down down

Answer

up up

Answer

up down

Answer

down up

Question 2

What is the y-intercept of $$f\left(x\right)=-\left(x-2\right)\left(x+3\right)\left(x-1\right)^{2\ }$$ ?

Accepted Answer

(0, 6)

Answer

(0, -6)

Answer

(0, 0)

Answer

(0, -1)

Question 3

What are the x-intercepts of $$f\left(x\right)=-\left(x-2\right)\left(x+3\right)\left(x-1\right)^{2\ }$$ ?

Accepted Answer

(2, 0), (-3, 0), (1, 0)

Answer

(-1, 0), (-2, 0), (3, 0)

Answer

(2, 0), (-3, 0), (1, 0), (-1, 0)

Answer

(2, 0), (-3, 0), (1, 0), (0, 0)

Question 4

Will the x-intercept of 1 bounce or go through? $$f\left(x\right)=-\left(x-2\right)\left(x+3\right)\left(x-1\right)^{2\ }$$

Accepted Answer

Bounce

Answer

Through

Answer

Neither, the x-intercept is at -1

Question 5

What are the critical points that would go on the number line for: $$\frac{2x}{x-3}\ge0$$ ?

Accepted Answer

3 and 0

Answer

3 and 2

Answer

3 only

Answer

0 only

Question 6

Where would the critical points go on the number line for: $$0>x^{2\ }-5x+6$$ ?

Accepted Answer

3 and 2

Answer

-3 and -2

Answer

-5 and 6

Answer

-1 and 6

Question 7

Solve: $$1=\frac{1}{x^2+2x}+\frac{x-1}{x}$$

Accepted Answer

-1

Answer

-2

Answer

No Solution

Answer

1

Question 8

Solve: $$8+\left|4x-7\right|\ge17$$

Accepted Answer

$$\left(-\infty,\ -\frac{1}{2}\right]\ U\ \ \left[4,\ \infty\right)$$

Answer

$$\left(-\infty,\ -\frac{1}{2}\right)\ U\ \ \left(4,\ \infty\right)$$

Answer

$$\left[-\frac{1}{2},\ 4\right]$$

Answer

$$\left[4,\ \infty\right]$$

Question 9

In what direction(s) would the parent function be shifted to produce: $$f\left(x\right)=\log_2\left(x-5\right)+3$$

Accepted Answer

Right 5, Up 3

Answer

Left 5, Up 3

Answer

Right 3, Down 5

Answer

Right 5, Down 3

Question 10

Solve: $$0=x^{2\ }+14x+39$$

Accepted Answer

$$\frac{-14\pm\sqrt[]{40}}{2}$$

Answer

$$-7\pm\sqrt[]{40}$$

Answer

$$\frac{14\pm\sqrt[]{40}}{2}$$

Answer

x=-14 & x=-39

Question 11

Which conic will this equation produce: $$1=x^2-y^{2\ }$$

Accepted Answer

Hyperbola

Answer

Circle

Answer

Ellipse

Answer

Parabola

Question 12

Knowing that x=1 is a factor, find all other factors of: $$x^3-2x^2-5x+6$$

Accepted Answer

(x-1)(x+2)(x-3)

Answer

(x-1)(x-2)(x+3)

Answer

x(x-1)(x+2)

Answer

(x+1)(x-2)(x+3)

Question 13

What is the domain of: $$f\left(x\right)=\frac{x}{x-4}$$ ?

Accepted Answer

$$R,\ x e4$$

Answer

$$R$$

Answer

$$R,\ x e0$$

Answer

$$R,\ x e-4$$

Question 14

Solve: $$5^x=14$$

Accepted Answer

1.640

Answer

2.8

Answer

0.610

Answer

0.954

Question 15

Solve: $$\log\left(x+3\right)=1-\log\left(x\right)$$

Accepted Answer

x=2, x=-5

Answer

No Solution

Answer

x=-2, x=5

Answer

x=13, x=10

Question 16

Josh invested money into an account that paid 6.4% interest, compounded continuously. After 5 years, he found that he has $48,916.96. What was his starting amount?

Accepted Answer

$35,521

Answer

You need to make sure you get $35,521

Answer

You need to make sure you get $35,521

Answer

You need to make sure you get $35,521

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