Name: _______________________________________________
Algebra 1
Homework - Evaluating Functions from Tables and Graphs
1. Given f(x) = -4x + 9; g(x) = 5x2 – 1; and h(x) = 10x: Simplify each expression below.
f(3)
g(4) + h(2)
2. Given f(x) = 8x – 12; if f(x) = 20, find x.
−3 ∙ 𝑓(2) − 8 ∙ 𝑔(−2)
3. What is the input value for which the output
of g(x) = -4x + 7 is equal to -19?
4. Examine the graph of the function, f(x), below and suppose g(x) = -2x – 5.
Find each of the following:
a.) f(-9)
b.) f(-3)
e.) Find e so that f(e) = 9.
c.) −2 ∙ 𝑓(−1)
d.) 6 ∙ 𝑓(1) − 4 ∙ 𝑓(6)
f.) Find a such that f(a) = -5
g.) Find a and b so that f (a)  f (b).
h.) Label domain and range.
i.) Explain how you know f(x) is a function.
5. Label the domain and range of each linear graph below.
Domain: ___________________
Domain: ___________________
Range: ____________________
Range: ____________________
Domain: ___________________
Domain: ___________________
Range: ____________________
Range: ____________________
6. A plumber charges an initial service fee of $100 and $50 per hour.
a) Label two variables and write an equation for the plumber’s charges in terms of hours worked.
b) Which variable is the independent variable? Explain.
c) Which variable is the dependent variable? Explain.
d) If you used this plumber for 3 hours, what was the total cost?
7. Create an expression that meets the following criteria:
-
contains 3 terms
contains two different variables
contains a negative coefficient
contains a coefficient that is a prime number between 20 and 30.
contains a constant that is a perfect square between 60 and 80.