Functions :)

Basics

100

This is the term for all of the x-values of a function.

What is the domain

200

This is the term for all of the y-values of a function.

What is the range

300

For the given coordinates, {(0,5), (-2,7),(-2-1)}, state the domain and range.

What is D: {0,-2) & R: {5,-7,1}

400

If f(x)=3x-5, then f(0) equals what?

What is -5

500

If f(x)=2x+3, then f(-3) equals what?

What is -3

Operations

100

Let f(x)=4x-1 and g(x)=2x^2+3. Then (f+g)(2) equals what?

What is 18?

200

Let f(x)=-3x+2 and g(x)=5-x. Then f(x)+g(x) equals what?

What is -4x + 7

300

Let f(x)=4x-1 and g(x)=2x^2+3. Then f(1)-g(1) equals what?

What is -2?

400

Let f(x)=4x-2 and g(x)=2x. Then (g/f)(2) equals what?

What is 2/3?

500

Let f(x)=3x+2 and g(x)=2x+9. Then f(x)*g(x) equals what?

What is 6x^2+31x+18?

Composite Functions

100

Let f(x)=3x and g(x)=2x+4. Then (g(f(2)) equals what?

What is 16

200

Let f(x)=3x and g(x)=2x+4. Then (f o g)(1) equals what?

What is 18

300

Let f(x)=3x and g(x)=2x+4. Then (f o f)(-2) equals what?

What is -18

400

Let f(x)=3x^2+2 and g(x)=2x. Then (g o f)(x) equals what?

What is 6x^2 + 4

500

Let f(x)=3x^2+2 and g(x)=2x. Then (f o g)(x) equals what?

What is 12x^2 + 2

Parent Functions

100

This function looks like a V.

What is the absolute value function?

200

If the function is a reciprocal function, what does it look like?

What is *it won't let Mrs. Myers add an image but Mrs. Myers knows what it looks like*?

300

This function has the same output for every single input.

What is the constant function?

400

If the parent function is a quadratic function, what is the domain and range?

What is domain (-infinity, infinity) and range [0, infinity)?

500

This is the parent function that has a domain of [0, infinity) and a range of [0, infinity).

What is the square root function?

Transformations

100

If f(x) = x^2, describe the transformations for g(x)=x^2+5?

What is up 5?

200

If m(x)=|x|, describe the transformations for n(x)=-|x|.

What is reflection across the x-axis?

300

If k(x)=x^3, describe the transformations for j(x)=(-x)^3-.5

What is a reflection across the y-axis and down .5 units?

400

Let p(x)=|x|.  Write an equation h(x) that has the following transformations: reflect across the x-axis and vertically expand by a factor of 6.

What is h(x)=-6|x|?

500

Let a(x)=x^2+4.  Write a function b(x) that has the following transformations: vertically compress by a factor of 2, translate right 5 units, and reflect across the y-axis.

What is b(x)=.5(-(x-5))^2+2?