Free Printable 1.7 Domain Given Equation Day 1

1.

Let f(x) be defined below. Correctly identify its domain.

f\left(x\right)=x^2-2x-35

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,0\right)\cup\left(0,\infty\right)$

c)

$\left(-\infty,-5\right)\cup\left(-5,7\right)\cup\left(7,\infty\right)$

d)

$\left(-\infty,-7\right)\cup\left(-7,5\right)\cup\left(5,\infty\right)$

2.

Let f(x) be defined below. Correctly identify its domain.

f\left(x\right)=\frac{1}{x+7}

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,-7\right)\cup\left(-7,\infty\right)$

c)

$\left(-\infty,7\right)\cup\left(7,\infty\right)$

d)

$\left(-\infty,0\right)\cup\left(0,\infty\right)$

3.

Let f(x) be defined below. Correctly identify its domain.

f\left(x\right)=\frac{x}{2x+5}

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,-\frac{5}{2}\right)\cup\left(-\frac{5}{2},\infty\right)$

c)

$\left(-\infty,\frac{5}{2}\right)\cup\left(\frac{5}{2},\infty\right)$

d)

$\left(-\infty,-\frac{2}{5}\right)\cup\left(-\frac{2}{5},\infty\right)$

4.

Let f(x) be defined below. Correctly identify its domain.

f\left(x\right)=x^2-16

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,0\right)\cup\left(0,\infty\right)$

c)

$\left(-\infty,-4\right)\cup\left(-4,4\right)\cup\left(4,\infty\right)$

d)

$\left(-\infty,-16\right)\cup\left(-16,16\right)\cup\left(16,\infty\right)$

5.

Let f(x) be defined below. Correctly identify its domain.

f\left(x\right)=\frac{x+1}{\left(2x+1\right)\left(x-3\right)}

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,-\frac{1}{2}\right)\cup\left(-\frac{1}{2},\ 3\right)\cup\left(3,\ \infty\right)$

c)

$\left(-\infty,-3\right)\cup\left(-3,\ \frac{1}{2}\right)\cup\left(\frac{1}{2},\ \infty\right)$

d)

$\left(-\infty,\ \frac{1}{2}\right)\cup\left(\frac{1}{2},\ 3\right)\cup\left(3,\ \infty\right)$

6.

Let f(x) be defined below. Correctly identify its domain.

f\left(x\right)=\frac{5x}{x^2-7x+12}

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,\ 3\right)\cup\left(3,\ 4\right)\cup\left(4,\ \infty\right)$

c)

$\left(-\infty,\ -3\right)\cup\left(-3,\ 4\right)\cup\left(4,\ \infty\right)$

d)

$\left(-\infty,\ -4\right)\cup\left(-4,\ -3\right)\cup\left(-3,\ \infty\right)$

7.

Let f(x) be defined below. Correctly identify its domain.

f\left(x\right)=\frac{x+1}{x^3-16x}

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,\ -4\right)\cup\left(-4,\ 0\right)$
$\cup\left(0,4\right)\cup\left(4,\ \infty\right)$

c)

$\left(-\infty,\ -4\right)\cup\left(-4,\ 4\right)\cup\left(4,\ \infty\right)$

d)

$\left(-\infty,\ -4\right)\cup\left(-4,\ -3\right)$

\cup\left(-3,\ -1\right)\cup\left(-1,\ \infty\right)

8.

Let f(x) be defined below. Correctly identify its domain.

f\left(x\right)=\frac{5+x}{18-2x}

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,\ 9\right)\cup\left(9,\ \infty\right)$

c)

$\left(-\infty,\ -9\right)\cup\left(-9,\ \infty\right)$

d)

$\left(-\infty,-5\right)\cup\left(-5,\ 9\right)\cup\left(9,\ \infty\right)$

9.

Let f(x) be defined below. Correctly identify its domain.

f\left(x\right)=\sqrt{x-5}

a)

$\left(-\infty,\infty\right)$

b)

$\left[5,\ \infty\right)$

c)

$\left(-\infty,\ 5\right]$

d)

$\left(-\infty,\ 5\right)\cup\left(5,\ \infty\right)$

10.

Let f(x) be defined above. Correctly identify its domain.

a)

$\left(-\infty,\infty\right)$

b)

$\left[3,\ \infty\right)$

c)

$\left(-\infty,\ 3\right]$

d)

$\left(-\infty,\ 3\right)\cup\left(3,\ \infty\right)$

11.

Let f(x) be defined below. Correctly identify its domain.

f\left(x\right)=\sqrt{8-x}

a)

$\left(-\infty,\infty\right)$

b)

$\left[8,\ \infty\right)$

c)

$\left(-\infty,\ 8\right]$

d)

$\left(-\infty,\ 8\right)\cup\left(8,\ \infty\right)$

12.

Let f(x) be defined below. Correctly identify its domain.

f\left(x\right)=\sqrt{9x-63}

a)

$\left(-\infty,\infty\right)$

b)

$\left[7,\ \infty\right)$

c)

$\left(-\infty,\ 7\right]$

d)

$\left(-\infty,\ 7\right)\cup\left(7,\ \infty\right)$

13.

Let f(x) be defined above. Correctly identify its domain.

a)

$\left(-\infty,\infty\right)$

b)

$\left[\frac{5}{2},\ \infty\right)$

c)

$\left(-\infty,\ \frac{5}{2}\right]$

d)

$\left(-\infty,\ \frac{5}{2}\right)\cup\left(\frac{5}{2},\ \infty\right)$

14.

Let f(x) be defined above. Correctly identify its domain.

a)

$\left(-\infty,\infty\right)$

b)

$\left[6,\ \infty\right)$

c)

$\left(-\infty,\ 6\right]$

d)

$\left(-\infty,\ 6\right)\cup\left(6,\ \infty\right)$

15.

We haven't learned this case yet, but use what you've learned in this activity to make an educated guess.

Let f(x) be defined below. Correctly identify its domain.

f\left(x\right)=\frac{\sqrt{x}}{x}

a)

$\left(-\infty,\infty\right)$

b)

$\left[0,\ \infty\right)$

c)

$\left(0,\ \infty\right)$

d)

$\left(-\infty,\ 0\right)\cup\left(0,\ \infty\right)$

16.

How are you feeling about the 1.7 Day 1 Lesson?

a)

I'm feeling great!

b)

I'm feeling okay, I need to practice more on my own.

c)

I am concerned, I will come for help.

1.7 Domain Given Equation Day 1

Total questions: 16

Worksheet time: 8mins

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