Practice Flashcards: Higher Maths: functions, graphs, exponentials and logarithms | Zestly

Question 1

Composite function definition

Accepted Answer

A function applied to the result of another, written $f(g(x))$. Example: if $f(x)=x+1$ and $g(x)=x^2$, then $f(g(x)) = x^2+1$.

Question 2

Inverse function condition

Accepted Answer

A function $f^{-1}(x)$ such that $f(f^{-1}(x)) = x$. Example: if $f(x)=2x$, then $f^{-1}(x) = \frac{x}{2}$.

Question 3

Horizontal translation $f(x-a)$

Accepted Answer

Shifts the graph $a$ units to the right. Example: $f(x-2)$ shifts $f(x)$ right by 2.

Question 4

Vertical translation $f(x)+k$

Question 5

Logarithm definition

Question 6

Logarithm product rule

Question 7

Logarithm quotient rule

Question 8

Logarithm power rule

Question 9

Exponential growth formula

Question 10

Natural logarithm

Question 11

Domain of $\log_a x$

Question 12

Reflection of inverse functions