Hector knows there is a relationship between the number of cars he washes and the time it takes him to wash those cars. Identify the independent quantity and the dependent quantity in the problem situation.
I) the amount of time it takes to wash each car
Determine whether each relationship represents a function. Explain your reasoning.
NO - explanations may vary
Identify the domain and range (include units)
R)distance from home (miles)
Which function types have an absolute maximum or minimum. Choose all that apply.
linear functions
constant functions
quadratic functions
exponential functions
linear absolute value functions
quadratic
absolute value
which is a constant function
a
Angela’s grandfather gave her all the cash he had in his pocket to buy raffle tickets that cost $1 each for her cheerleading fundraiser. Identify the independent quantity and dependent quantity in the problem situation.
D) amount of raffle tickets purchased
I) amount of money angela has
Determine whether each relationship represents a function. Explain your reasoning.
yes - explanations may vary
identify the domain and range
D) 2, 3, 4
R) -1, 1
Which graphs are curves. Choose all that apply
linear functions
constant functions
quadratic functions
exponential functions
linear absolute value functions
quadratic functions
exponential functions
Match the function to its graph
d
Brie knows there is a relationship between the grades on her math tests and the time she spends studying for those tests. Identify the independent quantity and the dependent quantity in this problem situation
D)grade on math test
I) amount of time spent studying
Determine whether each relationship represents a function. Explain your reasoning.
yes explanations will vary
Michelle incorrectly says that this is not a function because the -1 repeats. Explain why she thinks this (use the terms domain and range in your answer)
Circle the function types that are both increasing and decreasing for the same function. Choose all that apply.
linear functions
constant functions
quadratic functions
exponential functions
linear absolute value functions
quadratic functions
linear absolute value functions
Sketch a graph that has the given characteristics.
• is a function
• is quadratic
• is continuous
• has an absolute maximum
answers will vary
David rode his bike to the park. After staying at the park for a while, he continued his ride to the grocery store. The graph shown represents this situation. Identify the independent and dependent values - include units in your answer.
D)distance from house (miles)
I) time(in min)
Determine whether each relationship represents a function. Explain your reasoning.
no explanations will vary
what is the domain?
all real numbers
Circle the function types whose graphs consist only of lines. Choose all that apply.
linear functions
constant functions
quadratic functions
exponential functions
linear absolute value functions
linear functions
constant functions
linear absolute value functions
which is a linear function?
a
Grissom draws different sized spheres in a notebook. He knows there is a relationship between the volume of the sphere and the length of its diameter. What is the independent quantity in the situation?
a. surface area of the sphere
b. length of the diameter
c. volume of the sphere
d. number of spheres Grissom draws
b. length of the diameter
Determine whether each relationship represents a function. Explain your reasoning.
no explanations will vary
what is the range?
all values of y greater or equal to -1
Which characteristics best describe the graph?
a. is a function is exponential is discrete is increasing
b. is a function is exponential is continuous is decreasing
c. is a function is a linear absolute value function is discrete is increasing
d. is a function is a linear absolute value function is continuous is decreasing
b. is a function is exponential is continuous is decreasing
Heath has 10 pennies in his piggy bank initially. He doubles the number of pennies in his piggy bank each day for five days. Which graph correctly represents the scenario. Lablel the x and y axis (include units)
graph 1
x axis = time (in days)
y axis = number of pennies