Question

i can identify intervals that a function is increasing, decreasing, and constant
identify where the graph is increasing and decreasing.

1. graph increasing:

decreasing:
x intercepts:
y intercepts:

1. graph increasing:

decreasing:
x intercepts:
y intercepts:
i can evaluate a function in function notation.
evaluate each function given
f(x) = x² - 10

g(x) = -6x + 2

1. evaluate f(3)
2. evaluate g(-6)
3. evaluate g(x) = -4.
4. h(x) = x² - 1

table with x: -1, 0, 2 and h(x)
what is the value of x if h(x) = 8 ?

1. many cell phone plans have an option to include more than one phone. the function for

the monthly cost of cell phone service from a wireless company is f(x) = 25x + 200, where x is
the number of phones on the plan. find and interpret f(3) and f(5).

Explanation:

Question 11: Evaluate \( f(3) \) for \( f(x) = x^2 - 10 \)

Step 1: Substitute \( x = 3 \) into \( f(x) \)

We replace \( x \) with 3 in the function \( f(x) = x^2 - 10 \). So we get \( f(3) = 3^2 - 10 \).

Step 2: Calculate the value

First, calculate \( 3^2 = 9 \). Then subtract 10 from 9: \( 9 - 10 = -1 \).

Step 1: Substitute \( x = -6 \) into \( g(x) \)

Replace \( x \) with -6 in the function \( g(x)=-6x + 2 \). So \( g(-6)=-6\times(-6)+2 \).

Step 2: Calculate the value

First, calculate \( -6\times(-6)=36 \). Then add 2 to 36: \( 36 + 2 = 38 \).

Step 1: Set up the equation

We set \( -6x + 2=-4 \) since \( g(x)=-6x + 2 \) and \( g(x) = -4 \).

Step 2: Solve for \( x \)

Subtract 2 from both sides of the equation: \( -6x=-4 - 2 \), which simplifies to \( -6x=-6 \). Then divide both sides by -6: \( x=\frac{-6}{-6}=1 \).

Answer:

\( f(3)=-1 \)

Question 12: Evaluate \( g(-6) \) for \( g(x) = -6x + 2 \)