D1-Evaluating Functions

Front

If f(x) = 3x - 5, find f(4)

Back

f(4) = 3(4) - 5 = 12 - 5 = 7

Front

g(x) = 5 - 6x. Find g(-5)

Back

g(-5) = 5 - 6(-5) = 5 + 30 = 35

Front

f(x) = 2x + 5, and f(x) = 9. Find x.

Back

2x + 5 = 9; 2x = 4; x = 2.

Front

Solve for x if f(x) = 5, where f(x) = 5.

Back

x = 5.

Front

Is the relation a function? Why? (x-value 11 has two y-values)

Back

No, because the x-value 11 has two y-values pair with it.

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How do you evaluate a function at a specific point?

Back

Substitute the specific value into the function's equation and simplify.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept of a function?

Back

Set x = 0 in the function's equation and solve for y.