examday

Community mocks

Beyond Horizon Set 3 Paper 2 · Q6

Paper 2Logic & proofFunctions & graphs

(*) is the statement that the functions

f(x)=baxf(x)=b^{ax}
g(x)=bxag(x)=b^{x^a}
h(x)=baxh(x)=b^{a^x}

are all defined and increasing for x>0x>0. Find the range of aa and bb for which (*) is true.

Aa>0a>0 and b>0b>0
Ba<0a<0 and b>1b>1
Ca>1a>1 and b>0b>0
Da>1a>1 and b>1b>1
Ea>0a>0 and 0<b<10<b<1
Fa=1a=1 and b>0b>0

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.

Sign in to check your answerPractise the whole paper →