Evelyn - (Fun)ctions

Linear Functions

100

What is the y-intercept of the linear equation y=5/6x+11?

11

200

Find the slope of the graph

-3/2

300

Find the equation for the line that goes through the two points (1,−2) and (−3,6)

y=-2x

400

Write the equation of this table

y=4x+3

500

The equation y=11x+3 represents the amount Sara earns babysitting every hour. On a Saturday she earned 80 dollars, how many hours did she work?

7

Quadratic Functions

100

What is the vertex of the graph?

(-2,1)

200

What is the axis of symmetry of the graph?

1

300

True or false, if there's a negative sign at the start of the equation it means the parabola got reflected over the x-axis.

true

400

If the equation of quadratic function f(x) is f(x)=-3/4x²+5x-13, is this a positive or negative parabola?

negative

500

What is the vertex of the quadratic function y=2(x-5)²+2?

(5,2)

Exponential Functions

100

What is the asymptote of the graph?

y=0

200

Is the exponential function y=2(0.87)^x growth or decay?

decay

300

Is it considered an exponential growth if b is more than or less than 1?

more than

400

There are 950 bacteria in a petri dish. The number of bacteria increases by 25% each hour. Write the equation for the function f(x).

f(x)=950(1.25)^x

500

Write the equation for the exponential function f(x).

f(x)=1(4)^x

Domain

100

True or false. Domain is left to right.

true

200

Write the equation for the domain of this graph.

-2<x≤4

300

What's the equation for the domain of this graph?

x=-7

400

What is the domain of a quadratic function?

all real numbers

500

The total cost in dollars, c, to purchase video games online can be found using the function c = 16.95x + 4.75, where x is the number of video games purchased.  If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?

{72.55, 89.50, 106.45, 123.40}

Range

100

True or false. Range can never be all real numbers.

false

200

What's the range for this graph?

4≤y≤10

300

What's the range of this graph?

y≥-9

400

What is the range of an exponential function?

y>0

500

What is the range of the quadratic function y=3/4x²+9x-4?

y≥-31