CA - Sem 1 Final Review - Flashcardziz #2

Front

Back

(f - g)(2) = f(2) - g(2) = (-2(2)^2 - 3) - (2 + 5) = -18.

Front

If the point (2,4) is on the graph of y = f(x), find a point on the graph of -f(x-2)+3.

Back

The point (4, -1) is on the graph of -f(x-2)+3.

Front

Back

(f - g)(2) = -18.

Front

Write a linear equation that relates the cost C, in dollars, of renting a truck to the number x of miles driven, given a base charge of $25.00 and $0.11 per mile.

Back

C = 0.11x + 25.

Front

What is the cost of renting the truck if driven 190 miles?

Back

C = 0.11(190) + 25 = $45.90.

Front

Back

Front

What is the definition of a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line.

Front

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

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.