Types of functions

Question 1

A function is a _______ if f(x)=mx+b, where m and b are a real numbers.

Answer 1

Linear Function

Question 2

A linear function is a ________ if f(x)=mx+b where m=0 and b is any real number. Thus f(x)=b. The y value doesn’t change.

Answer 2

Constant Function

Question 3

A linear function is an _______ if f(x)=mx+b where m=1 and =0 this y=x.

Answer 3

Identity function

Question 4

A __________ is any equation of the form f(x)=ax^2+bx+c and it’s graph is a parabola.

Answer 4

Quadratic Function

Question 4

A __________ is any equation of the form f(x)=ax^2+bx+c and it’s graph is a parabola.

Answer 4

Quadratic Function

Question 5

A function of the domain of the absolute value function is all real numbers.

Answer 5

Absolute value function

Question 6

A function defined by multiple sub-functions where each sub-function applies to a certain interval of the main function’s domain.

Answer 6

Piecewise function

Question 7

A function in which for each value of y in the range , there is just one value of x in the domain. In other words function is one to one if f(x1)=f(x2) implies x1=x2.

Answer 7

One to one function

Question 8

A test to determine if a function is one to one.

Answer 8

Horizontal line test

Question 9

A rational function can be written in the form f(x)=F(x)/D(x).

Answer 9

Rational function

Question 10

A function that can be written as f(x)=b^x where b>0 but never b=1, and x is any real number.

Answer 10

Exponential function

Question 10

A function that can be written as f(x)=b^x where b>0 but never b=1, and x is any real number.

Answer 10

Exponential function