We've updated our
Privacy Policy effective December 15. Please read our updated Privacy Policy and tap

en

English

Upgrade

Advanced Functions Worksheets - Download free PDFs

Advanced Functions

Exponential

Exp Domain

1.\:\:domain\:2^{x}

2.\:\:domain\:3^{x}

3.\:\:domain\:2^{x+1}

4.\:\:domain\:3^{x}-1

5.\:\:domain\:2^{x-3}

6.\:\:domain\:2^{x}-3

7.\:\:domain\:5^{x}+3

8.\:\:domain\:f(x)=4^{-2x+2}

9.\:\:domain\:f(x)=4^{-x+1}-1

10.\:\:domain\:-4^{x+1}

Advanced Functions

Exponential

Exp Range

1.\:\:range\:2^{x}

2.\:\:range\:3^{x}

3.\:\:range\:2^{x+1}

4.\:\:range\:3^{x}-1

5.\:\:range\:2^{x-3}

6.\:\:range\:2^{x}-3

7.\:\:range\:5^{x}+3

8.\:\:range\:f(x)=4^{-2x+2}

9.\:\:range\:f(x)=4^{-x+1}-1

10.\:\:range\:-4^{x+1}

Advanced Functions

Exponential

Exp X-Axis Intercepts

1.\:\:x-intercepts\:2^{x}

2.\:\:x-intercepts\:3^{x}

3.\:\:x-intercepts\:2^{x+1}

4.\:\:x-intercepts\:3^{x}-1

5.\:\:x-intercepts\:2^{x-3}

6.\:\:x-intercepts\:2^{x}-3

7.\:\:x-intercepts\:5^{x}+3

8.\:\:x-intercepts\:f(x)=4^{-2x+2}

9.\:\:x-intercepts\:f(x)=4^{-x+1}-1

10.\:\:x-intercepts\:-4^{x+1}

Advanced Functions

Logarithmic

Log Domain

1.\:\:domain\:\ln(x)

2.\:\:domain\:\log_{2}(x)

3.\:\:domain\:\log_{3}(x)

4.\:\:domain\:\log_4(x-1)

5.\:\:domain\:2+\log_2(4+x)

6.\:\:domain\:\ln(e+x)

7.\:\:domain\:-\log_2(x-1)

8.\:\:domain\:\log_2(2+x)-4

9.\:\:domain\:2\log_{10}(x)

10.\:\:domain\:2\log_2(2+x)-1

Advanced Functions

Logarithmic

Log Range

1.\:\:range\:\ln(x)

2.\:\:range\:\log_{2}(x)

3.\:\:range\:\log_{3}(x)

4.\:\:range\:\log_4(x-1)

5.\:\:range\:2+\log_2(4+x)

6.\:\:range\:\ln(e+x)

7.\:\:range\:-\log_2(x-1)

8.\:\:range\:\log_2(2+x)-4

9.\:\:range\:2\log_{10}(x)

10.\:\:range\:2\log_2(2+x)-1

Advanced Functions

Logarithmic

Log X-Axis Intercepts

1.\:\:x-intercepts\:\ln(x)

2.\:\:x-intercepts\:\log_{2}(x)

3.\:\:x-intercepts\:\log_{3}(x)

4.\:\:x-intercepts\:\log_4(x-1)

5.\:\:x-intercepts\:2+\log_2(4+x)

6.\:\:x-intercepts\:\ln(e+x)

7.\:\:x-intercepts\:-\log_2(x-1)

8.\:\:x-intercepts\:\log_2(2+x)-4

9.\:\:x-intercepts\:2\log_{10}(x)

10.\:\:x-intercepts\:2\log_2(2+x)-1

Advanced Functions

Rational

Rational Domain

1.\:\:domain\:\frac{1}{x}

2.\:\:domain\:\frac{1}{x^{2}}

3.\:\:domain\:\frac{x}{x+1}

4.\:\:domain\:\frac{1}{1+x^{2}}

5.\:\:domain\:\frac{2}{x}

6.\:\:domain\:\frac{3}{x^{2}}

7.\:\:domain\:\frac{1}{x^{3}}

8.\:\:domain\:\frac{x+2}{x-1}

9.\:\:domain\:\frac{x^{2}}{x^{2}+1}

10.\:\:domain\:\frac{1}{x-3}

Advanced Functions

Rational

Rational Range

1.\:\:range\:\frac{1}{x}

2.\:\:range\:\frac{1}{x^{2}}

3.\:\:range\:\frac{x}{x+1}

4.\:\:range\:\frac{1}{1+x^{2}}

5.\:\:range\:\frac{2}{x}

6.\:\:range\:\frac{3}{x^{2}}

7.\:\:range\:\frac{1}{x^{3}}

8.\:\:range\:\frac{x+2}{x-1}

9.\:\:range\:\frac{x^{2}}{x^{2}+1}

10.\:\:range\:\frac{1}{x-3}

Advanced Functions

Rational

Rational X-Axis Intercepts

1.\:\:x-intercepts\:\frac{1}{x}

2.\:\:x-intercepts\:\frac{1}{x^{2}}

3.\:\:x-intercepts\:\frac{x}{x+1}

4.\:\:x-intercepts\:\frac{1}{1+x^{2}}

5.\:\:x-intercepts\:\frac{2}{x}

6.\:\:x-intercepts\:\frac{3}{x^{2}}

7.\:\:x-intercepts\:\frac{1}{x^{3}}

8.\:\:x-intercepts\:\frac{x+2}{x-1}

9.\:\:x-intercepts\:\frac{x^{2}}{x^{2}+1}

10.\:\:x-intercepts\:\frac{1}{x-3}