General Mathematics Reviewer 1

What rule shows correspondence from the elements of a set X to the elements of another set Y?

• function

• relations

• domain

• range

What type of function consists of a set of different intervals of x to define y?

• piecewise function

• constant function

• linear function

• quadratic function

Which of the following is not a correct form of expressing a function?

• $d\left(x\right)=y+5$

• $y=3x+1$

• $f\left(x\right)=7x+1$

• $g\left(x\right)=\frac{2x-1}{5}$

Elaine bought a cake-making kit. She sells 1 lb cakes for ₱75 each. Write a function C that shows how much she earns selling p pounds of cake.

• $C\left(p\right)=75p$

• $C\left(p\right)=75p+150$

• $C\left(p\right)=75p+150+p$

• $C\left(p\right)=75+p$

A rectangular garden has a perimeter of 120 m. Express its area A as a function of the width w.

• $A\left(w\right)=60w-w^2$

• $A\left(w\right)=120w-w^2$

• $A\left(w\right)=60w-60w^2$

• $A\left(w\right)=120w-120w^2$

The car park fee costs ₱70 for the first three hours and additional of ₱10 for every succeeding hour. A car can park for up to 10 hours. Let t be the number of parking hours and C(t) be the parking fee. Which of the following piece-wise functions represents the situation?

• 
• 
• 
• 

How do we evaluate a function?

• by finding the value to be substituted to the variable

• by solving for the value of the variable that will make the function equal to 0

• by substituting the given value to the variable and simplifying

• by graphing the function on the Cartesian plane

What is  $f\left(\frac{1}{2}\right)$  given  $f\left(x\right)=\frac{1}{x}$  ?

• 2

•  $\frac{1}{2}$  

• -2

•  $-\frac{1}{2}$  

What is  $f\left(-3\right)$  given  $f\left(x\right)=2x+1$  ?

• -7

• -5

• 0

• 7

Evaluate the function $f\left(x\right)=3x^3-3x^2+x-3$  for  $x=-1$  ?

• -10,-10

• -10,10

• -1,-1

• -1,1