Chapter 4 Flashcards by Hannah Fekete

Q

For x - intercept

A

y=0

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

For y-intercept

A

x=0

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

[a,b]

A

interval including a and including b

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

(a,b)

A

interval excluding a and excluding b

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

y=mx+c

A

gradient-intercept form

equation of a line

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

ax+by+c=0

A

standard / general form

equation of a line

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

y=kx

A

direct variation

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

y=k/x

A

indirect variation

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

m=

gradient formula

A

(y₂- y₁)/(x₂- x₁)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

y- y₁=m(x- x₁)

A

Formula for finding equation of a line

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Parallel lines

A

m₁=m₂

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Perpendicular lines

A

m₂=1/m₁

m₁m₂=-1

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

y=ax²+bx+c

A

General form of a parabola

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

for y=ax²+bx+c

Find the axis of symetry

A

x=-b/2a

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

for y=ax²+bx+c

Find maximum or minimum value

A

f(-b/2a)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

for y=ax²+bx+c

Find turning point

A

(-b/2a, f(-b/2a))

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

ax²+bx+c=0

A

on the x axis

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

ax²+bx+c>0

A

above the x axis

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

ax²+bx+c<0

A

below the x axis

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

b²-4ac

A

The discriminant

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

b²-4ac>0

A

Two real roots

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

b²-4ac=0

A

One real root

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

b²-4ac<0

A

No real roots

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

y=k(x+b)³+c

A

Cubic function, with transformations

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

y=k(x-a)(x-b)(x-c) | Find intercepts

a,b,c

Cubic with intercepts a,b,c

y=k(x-a)(x-b)(x-c)

P(x)=aₙxⁿ+aₙ₋₁xⁿ⁻¹+...a₀

Polynomial Functions | Degree n, leading coefficient aₙ

income = cost

break even point

income > cost

Profit

income < cost

Loss

interval **including** a and **including** b

[a,b]

interval **excluding** a and **excluding** b

(a,b)

gradient-intercept form | equation of a line

y=mx+c

standard / general form | equation of a line

ax+by+c=0

direct variation

y=kx

indirect variation

y=k/x

(y₂- y₁)/(x₂- x₁)=

m | gradient

Formula for finding equation of a line

y- y₁=m(x- x₁)

m₁=m₂

Parallel lines

m₂=1/m₁ | m₁m₂=-1

Perpendicular lines

General form of a parabola

y=ax²+bx+c

x=-b/2a

# for y=ax²+bx+c Find the axis of symetry

f(-b/2a)

# for y=ax²+bx+c Find maximum or minimum value

(-b/2a, f(-b/2a))

# for y=ax²+bx+c Find turning point

on the x axis

ax²+bx+c=0

above the x axis

ax²+bx+c>0

below the x axis

ax²+bx+c<0

The discriminant

b²-4ac

Two real roots

b²-4ac>0

One real root

b²-4ac=0

No real roots

b²-4ac<0

Cubic function, with transformations

y=k(x+b)³+c

a,b,c | Find equation with intercepts

y=k(x-a)(x-b)(x-c)

y=k(x-a)(x-b)(x-c)

Cubic with intercepts a,b,c

break even point

income = cost

Profit

income > cost

Loss

income < cost

f(x)=f(-x)

Even

Even

f(x)=f(-x)

f(-x)=-f(x)

Odd

Odd

f(-x)=-f(x)