Exponential graphs and inverse rules: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=5 \cdot 2^{2 x - 10} + 20\). For short checks use \(\displaystyle h=5, B=2, A=5, D=20\).
Find the height of the horizontal asymptote.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential graphs and inverse rules: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=2 \cdot 2^{3 x - 3} + 21\). For short checks use \(\displaystyle h=1, B=3, A=2, D=21\).
Find the height of the horizontal asymptote.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential graphs and inverse rules: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=2 \cdot 2^{3 x - 3} + 21\). For short checks use \(\displaystyle h=1, B=3, A=2, D=21\).
Find f(h).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential graphs and inverse rules: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=3 \cdot 2^{x - 2} + 22\). For short checks use \(\displaystyle h=2, B=1, A=3, D=22\).
Find f(h).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential graphs and inverse rules: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=3 \cdot 2^{x - 2} + 22\). For short checks use \(\displaystyle h=2, B=1, A=3, D=22\).
Find \(\displaystyle f(h+ \frac{1}{B})\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential graphs and inverse rules: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=4 \cdot 2^{2 x - 6} + 23\). For short checks use \(\displaystyle h=3, B=2, A=4, D=23\).
Find \(\displaystyle f(h+ \frac{1}{B})\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential graphs and inverse rules: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=4 \cdot 2^{2 x - 6} + 23\). For short checks use \(\displaystyle h=3, B=2, A=4, D=23\).
Find the x-value where \(\displaystyle f(x)=D+4A\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential graphs and inverse rules: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(f(x)=5 \cdot 2^{3 x - 12} + 24\). For short checks use \(\displaystyle h=4, B=3, A=5, D=24\).
Find the x-value where \(\displaystyle f(x)=D+4A\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.